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Finding the Third Proportional to 56,708 and 88,762

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Solution

The third proportional to 56,708 and 88,762 is: 138,934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,708 : 88,762 = 88,762 : x
  2. Step 2: Convert to fraction form
    56,708/88,762 = 88,762/x
  3. Step 3: Cross multiply
    56,708x = 88,762 × 88,762
  4. Step 4: Simplify right side
    56,708x = 7,878,692,644
  5. Step 5: Solve for x
    x = 7,878,692,644/56,708
  6. Step 6: Final answer
    x = 138,934.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.