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Finding the Third Proportional to 58,501 and 126,200

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Solution

The third proportional to 58,501 and 126,200 is: 272,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,501 : 126,200 = 126,200 : x
  2. Step 2: Convert to fraction form
    58,501/126,200 = 126,200/x
  3. Step 3: Cross multiply
    58,501x = 126,200 × 126,200
  4. Step 4: Simplify right side
    58,501x = 15,926,440,000
  5. Step 5: Solve for x
    x = 15,926,440,000/58,501
  6. Step 6: Final answer
    x = 272,242.18

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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.