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Finding the Third Proportional to 56,604 and 87,282

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Solution

The third proportional to 56,604 and 87,282 is: 134,586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,604 : 87,282 = 87,282 : x
  2. Step 2: Convert to fraction form
    56,604/87,282 = 87,282/x
  3. Step 3: Cross multiply
    56,604x = 87,282 × 87,282
  4. Step 4: Simplify right side
    56,604x = 7,618,147,524
  5. Step 5: Solve for x
    x = 7,618,147,524/56,604
  6. Step 6: Final answer
    x = 134,586.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.