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Finding the Third Proportional to 57,258.75 and 84,177.75

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Solution

The third proportional to 57,258.75 and 84,177.75 is: 123,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,258.75 : 84,177.75 = 84,177.75 : x
  2. Step 2: Convert to fraction form
    57,258.75/84,177.75 = 84,177.75/x
  3. Step 3: Cross multiply
    57,258.75x = 84,177.75 × 84,177.75
  4. Step 4: Simplify right side
    57,258.75x = 7,085,893,595.06
  5. Step 5: Solve for x
    x = 7,085,893,595.06/57,258.75
  6. Step 6: Final answer
    x = 123,752.15

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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.