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Finding the Third Proportional to 121,428.75 and 257,655.75

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Solution

The third proportional to 121,428.75 and 257,655.75 is: 546,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,428.75 : 257,655.75 = 257,655.75 : x
  2. Step 2: Convert to fraction form
    121,428.75/257,655.75 = 257,655.75/x
  3. Step 3: Cross multiply
    121,428.75x = 257,655.75 × 257,655.75
  4. Step 4: Simplify right side
    121,428.75x = 66,386,485,508.06
  5. Step 5: Solve for x
    x = 66,386,485,508.06/121,428.75
  6. Step 6: Final answer
    x = 546,711.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.