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Finding the Third Proportional to 58,319 and 87,463

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Solution

The third proportional to 58,319 and 87,463 is: 131,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,319 : 87,463 = 87,463 : x
  2. Step 2: Convert to fraction form
    58,319/87,463 = 87,463/x
  3. Step 3: Cross multiply
    58,319x = 87,463 × 87,463
  4. Step 4: Simplify right side
    58,319x = 7,649,776,369
  5. Step 5: Solve for x
    x = 7,649,776,369/58,319
  6. Step 6: Final answer
    x = 131,171.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.