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Finding the Third Proportional to 63,432 and 130,704

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Solution

The third proportional to 63,432 and 130,704 is: 269,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,432 : 130,704 = 130,704 : x
  2. Step 2: Convert to fraction form
    63,432/130,704 = 130,704/x
  3. Step 3: Cross multiply
    63,432x = 130,704 × 130,704
  4. Step 4: Simplify right side
    63,432x = 17,083,535,616
  5. Step 5: Solve for x
    x = 17,083,535,616/63,432
  6. Step 6: Final answer
    x = 269,320.46

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Why These Related Problems?

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