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Finding the Third Proportional to 62,412 and 136,486

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Solution

The third proportional to 62,412 and 136,486 is: 298,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,412 : 136,486 = 136,486 : x
  2. Step 2: Convert to fraction form
    62,412/136,486 = 136,486/x
  3. Step 3: Cross multiply
    62,412x = 136,486 × 136,486
  4. Step 4: Simplify right side
    62,412x = 18,628,428,196
  5. Step 5: Solve for x
    x = 18,628,428,196/62,412
  6. Step 6: Final answer
    x = 298,475.10

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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.