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Finding the Third Proportional to 63,744 and 91,040

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Solution

The third proportional to 63,744 and 91,040 is: 130,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,744 : 91,040 = 91,040 : x
  2. Step 2: Convert to fraction form
    63,744/91,040 = 91,040/x
  3. Step 3: Cross multiply
    63,744x = 91,040 × 91,040
  4. Step 4: Simplify right side
    63,744x = 8,288,281,600
  5. Step 5: Solve for x
    x = 8,288,281,600/63,744
  6. Step 6: Final answer
    x = 130,024.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.