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Finding the Third Proportional to 58,202 and 126,484

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Solution

The third proportional to 58,202 and 126,484 is: 274,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,202 : 126,484 = 126,484 : x
  2. Step 2: Convert to fraction form
    58,202/126,484 = 126,484/x
  3. Step 3: Cross multiply
    58,202x = 126,484 × 126,484
  4. Step 4: Simplify right side
    58,202x = 15,998,202,256
  5. Step 5: Solve for x
    x = 15,998,202,256/58,202
  6. Step 6: Final answer
    x = 274,873.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.