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Finding the Third Proportional to 56,952 and 91,509

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Solution

The third proportional to 56,952 and 91,509 is: 147,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,952 : 91,509 = 91,509 : x
  2. Step 2: Convert to fraction form
    56,952/91,509 = 91,509/x
  3. Step 3: Cross multiply
    56,952x = 91,509 × 91,509
  4. Step 4: Simplify right side
    56,952x = 8,373,897,081
  5. Step 5: Solve for x
    x = 8,373,897,081/56,952
  6. Step 6: Final answer
    x = 147,034.29

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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.