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Finding the Third Proportional to 99,677 and 148,087

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Solution

The third proportional to 99,677 and 148,087 is: 220,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,677 : 148,087 = 148,087 : x
  2. Step 2: Convert to fraction form
    99,677/148,087 = 148,087/x
  3. Step 3: Cross multiply
    99,677x = 148,087 × 148,087
  4. Step 4: Simplify right side
    99,677x = 21,929,759,569
  5. Step 5: Solve for x
    x = 21,929,759,569/99,677
  6. Step 6: Final answer
    x = 220,008.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.