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Finding the Third Proportional to 62,292 and 136,668

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Solution

The third proportional to 62,292 and 136,668 is: 299,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,292 : 136,668 = 136,668 : x
  2. Step 2: Convert to fraction form
    62,292/136,668 = 136,668/x
  3. Step 3: Cross multiply
    62,292x = 136,668 × 136,668
  4. Step 4: Simplify right side
    62,292x = 18,678,142,224
  5. Step 5: Solve for x
    x = 18,678,142,224/62,292
  6. Step 6: Final answer
    x = 299,848.17

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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.