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Finding the Third Proportional to 58,459 and 126,261

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Solution

The third proportional to 58,459 and 126,261 is: 272,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,459 : 126,261 = 126,261 : x
  2. Step 2: Convert to fraction form
    58,459/126,261 = 126,261/x
  3. Step 3: Cross multiply
    58,459x = 126,261 × 126,261
  4. Step 4: Simplify right side
    58,459x = 15,941,840,121
  5. Step 5: Solve for x
    x = 15,941,840,121/58,459
  6. Step 6: Final answer
    x = 272,701.21

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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.