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Finding the Third Proportional to 124,609.50 and 195,842.25

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Solution

The third proportional to 124,609.50 and 195,842.25 is: 307,795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,609.50 : 195,842.25 = 195,842.25 : x
  2. Step 2: Convert to fraction form
    124,609.50/195,842.25 = 195,842.25/x
  3. Step 3: Cross multiply
    124,609.50x = 195,842.25 × 195,842.25
  4. Step 4: Simplify right side
    124,609.50x = 38,354,186,885.06
  5. Step 5: Solve for x
    x = 38,354,186,885.06/124,609.50
  6. Step 6: Final answer
    x = 307,795.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.