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Finding the Third Proportional to 58,454 and 126,250

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Solution

The third proportional to 58,454 and 126,250 is: 272,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,454 : 126,250 = 126,250 : x
  2. Step 2: Convert to fraction form
    58,454/126,250 = 126,250/x
  3. Step 3: Cross multiply
    58,454x = 126,250 × 126,250
  4. Step 4: Simplify right side
    58,454x = 15,939,062,500
  5. Step 5: Solve for x
    x = 15,939,062,500/58,454
  6. Step 6: Final answer
    x = 272,677.02

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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.