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Finding the Third Proportional to 57,705.75 and 86,938.31

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Solution

The third proportional to 57,705.75 and 86,938.31 is: 130,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,705.75 : 86,938.31 = 86,938.31 : x
  2. Step 2: Convert to fraction form
    57,705.75/86,938.31 = 86,938.31/x
  3. Step 3: Cross multiply
    57,705.75x = 86,938.31 × 86,938.31
  4. Step 4: Simplify right side
    57,705.75x = 7,558,270,180.35
  5. Step 5: Solve for x
    x = 7,558,270,180.35/57,705.75
  6. Step 6: Final answer
    x = 130,979.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.