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Finding the Third Proportional to 124,618.50 and 193,281.75

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Solution

The third proportional to 124,618.50 and 193,281.75 is: 299,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,618.50 : 193,281.75 = 193,281.75 : x
  2. Step 2: Convert to fraction form
    124,618.50/193,281.75 = 193,281.75/x
  3. Step 3: Cross multiply
    124,618.50x = 193,281.75 × 193,281.75
  4. Step 4: Simplify right side
    124,618.50x = 37,357,834,883.06
  5. Step 5: Solve for x
    x = 37,357,834,883.06/124,618.50
  6. Step 6: Final answer
    x = 299,777.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.