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Finding the Third Proportional to 56,984 and 88,463

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Solution

The third proportional to 56,984 and 88,463 is: 137,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,984 : 88,463 = 88,463 : x
  2. Step 2: Convert to fraction form
    56,984/88,463 = 88,463/x
  3. Step 3: Cross multiply
    56,984x = 88,463 × 88,463
  4. Step 4: Simplify right side
    56,984x = 7,825,702,369
  5. Step 5: Solve for x
    x = 7,825,702,369/56,984
  6. Step 6: Final answer
    x = 137,331.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.