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Finding the Third Proportional to 124,305 and 197,140.50

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Solution

The third proportional to 124,305 and 197,140.50 is: 312,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,305 : 197,140.50 = 197,140.50 : x
  2. Step 2: Convert to fraction form
    124,305/197,140.50 = 197,140.50/x
  3. Step 3: Cross multiply
    124,305x = 197,140.50 × 197,140.50
  4. Step 4: Simplify right side
    124,305x = 38,864,376,740.25
  5. Step 5: Solve for x
    x = 38,864,376,740.25/124,305
  6. Step 6: Final answer
    x = 312,653.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.