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Finding the Third Proportional to 101,087 and 149,659

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Solution

The third proportional to 101,087 and 149,659 is: 221,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,087 : 149,659 = 149,659 : x
  2. Step 2: Convert to fraction form
    101,087/149,659 = 149,659/x
  3. Step 3: Cross multiply
    101,087x = 149,659 × 149,659
  4. Step 4: Simplify right side
    101,087x = 22,397,816,281
  5. Step 5: Solve for x
    x = 22,397,816,281/101,087
  6. Step 6: Final answer
    x = 221,569.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.