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Finding the Third Proportional to 58,516 and 126,230

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Solution

The third proportional to 58,516 and 126,230 is: 272,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,516 : 126,230 = 126,230 : x
  2. Step 2: Convert to fraction form
    58,516/126,230 = 126,230/x
  3. Step 3: Cross multiply
    58,516x = 126,230 × 126,230
  4. Step 4: Simplify right side
    58,516x = 15,934,012,900
  5. Step 5: Solve for x
    x = 15,934,012,900/58,516
  6. Step 6: Final answer
    x = 272,301.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.