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Finding the Third Proportional to 58,552 and 126,560

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Solution

The third proportional to 58,552 and 126,560 is: 273,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,552 : 126,560 = 126,560 : x
  2. Step 2: Convert to fraction form
    58,552/126,560 = 126,560/x
  3. Step 3: Cross multiply
    58,552x = 126,560 × 126,560
  4. Step 4: Simplify right side
    58,552x = 16,017,433,600
  5. Step 5: Solve for x
    x = 16,017,433,600/58,552
  6. Step 6: Final answer
    x = 273,559.12

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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.