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Finding the Third Proportional to 52,432.31 and 81,754.31

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Solution

The third proportional to 52,432.31 and 81,754.31 is: 127,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,432.31 : 81,754.31 = 81,754.31 : x
  2. Step 2: Convert to fraction form
    52,432.31/81,754.31 = 81,754.31/x
  3. Step 3: Cross multiply
    52,432.31x = 81,754.31 × 81,754.31
  4. Step 4: Simplify right side
    52,432.31x = 6,683,767,612.35
  5. Step 5: Solve for x
    x = 6,683,767,612.35/52,432.31
  6. Step 6: Final answer
    x = 127,474.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.