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Finding the Third Proportional to 58,576 and 126,304

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Solution

The third proportional to 58,576 and 126,304 is: 272,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,576 : 126,304 = 126,304 : x
  2. Step 2: Convert to fraction form
    58,576/126,304 = 126,304/x
  3. Step 3: Cross multiply
    58,576x = 126,304 × 126,304
  4. Step 4: Simplify right side
    58,576x = 15,952,700,416
  5. Step 5: Solve for x
    x = 15,952,700,416/58,576
  6. Step 6: Final answer
    x = 272,341.92

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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.