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Finding the Third Proportional to 56,932 and 91,472

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Solution

The third proportional to 56,932 and 91,472 is: 146,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,932 : 91,472 = 91,472 : x
  2. Step 2: Convert to fraction form
    56,932/91,472 = 91,472/x
  3. Step 3: Cross multiply
    56,932x = 91,472 × 91,472
  4. Step 4: Simplify right side
    56,932x = 8,367,126,784
  5. Step 5: Solve for x
    x = 8,367,126,784/56,932
  6. Step 6: Final answer
    x = 146,967.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.