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Finding the Third Proportional to 56,691 and 88,482

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Solution

The third proportional to 56,691 and 88,482 is: 138,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,691 : 88,482 = 88,482 : x
  2. Step 2: Convert to fraction form
    56,691/88,482 = 88,482/x
  3. Step 3: Cross multiply
    56,691x = 88,482 × 88,482
  4. Step 4: Simplify right side
    56,691x = 7,829,064,324
  5. Step 5: Solve for x
    x = 7,829,064,324/56,691
  6. Step 6: Final answer
    x = 138,100.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.