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Finding the Third Proportional to 57,214.69 and 88,592.06

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Solution

The third proportional to 57,214.69 and 88,592.06 is: 137,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,214.69 : 88,592.06 = 88,592.06 : x
  2. Step 2: Convert to fraction form
    57,214.69/88,592.06 = 88,592.06/x
  3. Step 3: Cross multiply
    57,214.69x = 88,592.06 × 88,592.06
  4. Step 4: Simplify right side
    57,214.69x = 7,848,553,538.00
  5. Step 5: Solve for x
    x = 7,848,553,538.00/57,214.69
  6. Step 6: Final answer
    x = 137,177.25

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