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Finding the Third Proportional to 90,524 and 137,291

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Solution

The third proportional to 90,524 and 137,291 is: 208,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,524 : 137,291 = 137,291 : x
  2. Step 2: Convert to fraction form
    90,524/137,291 = 137,291/x
  3. Step 3: Cross multiply
    90,524x = 137,291 × 137,291
  4. Step 4: Simplify right side
    90,524x = 18,848,818,681
  5. Step 5: Solve for x
    x = 18,848,818,681/90,524
  6. Step 6: Final answer
    x = 208,219.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.