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Finding the Third Proportional to 42,737.63 and 88,207.31

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Solution

The third proportional to 42,737.63 and 88,207.31 is: 182,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,737.63 : 88,207.31 = 88,207.31 : x
  2. Step 2: Convert to fraction form
    42,737.63/88,207.31 = 88,207.31/x
  3. Step 3: Cross multiply
    42,737.63x = 88,207.31 × 88,207.31
  4. Step 4: Simplify right side
    42,737.63x = 7,780,529,978.47
  5. Step 5: Solve for x
    x = 7,780,529,978.47/42,737.63
  6. Step 6: Final answer
    x = 182,053.40

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.