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Finding the Third Proportional to 42,133.92 and 63,081.28

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Solution

The third proportional to 42,133.92 and 63,081.28 is: 94,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,133.92 : 63,081.28 = 63,081.28 : x
  2. Step 2: Convert to fraction form
    42,133.92/63,081.28 = 63,081.28/x
  3. Step 3: Cross multiply
    42,133.92x = 63,081.28 × 63,081.28
  4. Step 4: Simplify right side
    42,133.92x = 3,979,248,044.14
  5. Step 5: Solve for x
    x = 3,979,248,044.14/42,133.92
  6. Step 6: Final answer
    x = 94,442.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.