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Finding the Third Proportional to 54,536 and 86,988

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Solution

The third proportional to 54,536 and 86,988 is: 138,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,536 : 86,988 = 86,988 : x
  2. Step 2: Convert to fraction form
    54,536/86,988 = 86,988/x
  3. Step 3: Cross multiply
    54,536x = 86,988 × 86,988
  4. Step 4: Simplify right side
    54,536x = 7,566,912,144
  5. Step 5: Solve for x
    x = 7,566,912,144/54,536
  6. Step 6: Final answer
    x = 138,750.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.