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Finding the Third Proportional to 58,560 and 141,540

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Solution

The third proportional to 58,560 and 141,540 is: 342,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,560 : 141,540 = 141,540 : x
  2. Step 2: Convert to fraction form
    58,560/141,540 = 141,540/x
  3. Step 3: Cross multiply
    58,560x = 141,540 × 141,540
  4. Step 4: Simplify right side
    58,560x = 20,033,571,600
  5. Step 5: Solve for x
    x = 20,033,571,600/58,560
  6. Step 6: Final answer
    x = 342,103.34

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.