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Finding the Third Proportional to 57,397.50 and 84,345.75

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Solution

The third proportional to 57,397.50 and 84,345.75 is: 123,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,397.50 : 84,345.75 = 84,345.75 : x
  2. Step 2: Convert to fraction form
    57,397.50/84,345.75 = 84,345.75/x
  3. Step 3: Cross multiply
    57,397.50x = 84,345.75 × 84,345.75
  4. Step 4: Simplify right side
    57,397.50x = 7,114,205,543.06
  5. Step 5: Solve for x
    x = 7,114,205,543.06/57,397.50
  6. Step 6: Final answer
    x = 123,946.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.