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Finding the Third Proportional to 62,569 and 136,154

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Solution

The third proportional to 62,569 and 136,154 is: 296,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,569 : 136,154 = 136,154 : x
  2. Step 2: Convert to fraction form
    62,569/136,154 = 136,154/x
  3. Step 3: Cross multiply
    62,569x = 136,154 × 136,154
  4. Step 4: Simplify right side
    62,569x = 18,537,911,716
  5. Step 5: Solve for x
    x = 18,537,911,716/62,569
  6. Step 6: Final answer
    x = 296,279.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.