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Finding the Third Proportional to 87,464 and 137,503

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Solution

The third proportional to 87,464 and 137,503 is: 216,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,464 : 137,503 = 137,503 : x
  2. Step 2: Convert to fraction form
    87,464/137,503 = 137,503/x
  3. Step 3: Cross multiply
    87,464x = 137,503 × 137,503
  4. Step 4: Simplify right side
    87,464x = 18,907,075,009
  5. Step 5: Solve for x
    x = 18,907,075,009/87,464
  6. Step 6: Final answer
    x = 216,169.80

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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.