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Finding the Third Proportional to 55,984 and 86,681

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Solution

The third proportional to 55,984 and 86,681 is: 134,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,984 : 86,681 = 86,681 : x
  2. Step 2: Convert to fraction form
    55,984/86,681 = 86,681/x
  3. Step 3: Cross multiply
    55,984x = 86,681 × 86,681
  4. Step 4: Simplify right side
    55,984x = 7,513,595,761
  5. Step 5: Solve for x
    x = 7,513,595,761/55,984
  6. Step 6: Final answer
    x = 134,209.70

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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.