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Finding the Third Proportional to 101,414 and 147,585

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Solution

The third proportional to 101,414 and 147,585 is: 214,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414 : 147,585 = 147,585 : x
  2. Step 2: Convert to fraction form
    101,414/147,585 = 147,585/x
  3. Step 3: Cross multiply
    101,414x = 147,585 × 147,585
  4. Step 4: Simplify right side
    101,414x = 21,781,332,225
  5. Step 5: Solve for x
    x = 21,781,332,225/101,414
  6. Step 6: Final answer
    x = 214,776.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.