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Finding the Third Proportional to 63,368 and 88,591

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Solution

The third proportional to 63,368 and 88,591 is: 123,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,368 : 88,591 = 88,591 : x
  2. Step 2: Convert to fraction form
    63,368/88,591 = 88,591/x
  3. Step 3: Cross multiply
    63,368x = 88,591 × 88,591
  4. Step 4: Simplify right side
    63,368x = 7,848,365,281
  5. Step 5: Solve for x
    x = 7,848,365,281/63,368
  6. Step 6: Final answer
    x = 123,853.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.