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Finding the Third Proportional to 90,498 and 138,087

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Solution

The third proportional to 90,498 and 138,087 is: 210,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,498 : 138,087 = 138,087 : x
  2. Step 2: Convert to fraction form
    90,498/138,087 = 138,087/x
  3. Step 3: Cross multiply
    90,498x = 138,087 × 138,087
  4. Step 4: Simplify right side
    90,498x = 19,068,019,569
  5. Step 5: Solve for x
    x = 19,068,019,569/90,498
  6. Step 6: Final answer
    x = 210,701.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.