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Finding the Third Proportional to 62,246 and 136,586

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Solution

The third proportional to 62,246 and 136,586 is: 299,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,246 : 136,586 = 136,586 : x
  2. Step 2: Convert to fraction form
    62,246/136,586 = 136,586/x
  3. Step 3: Cross multiply
    62,246x = 136,586 × 136,586
  4. Step 4: Simplify right side
    62,246x = 18,655,735,396
  5. Step 5: Solve for x
    x = 18,655,735,396/62,246
  6. Step 6: Final answer
    x = 299,709.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.