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Finding the Third Proportional to 101,487 and 144,246

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Solution

The third proportional to 101,487 and 144,246 is: 205,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,487 : 144,246 = 144,246 : x
  2. Step 2: Convert to fraction form
    101,487/144,246 = 144,246/x
  3. Step 3: Cross multiply
    101,487x = 144,246 × 144,246
  4. Step 4: Simplify right side
    101,487x = 20,806,908,516
  5. Step 5: Solve for x
    x = 20,806,908,516/101,487
  6. Step 6: Final answer
    x = 205,020.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.