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Finding the Third Proportional to 58,548 and 125,880

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Solution

The third proportional to 58,548 and 125,880 is: 270,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,548 : 125,880 = 125,880 : x
  2. Step 2: Convert to fraction form
    58,548/125,880 = 125,880/x
  3. Step 3: Cross multiply
    58,548x = 125,880 × 125,880
  4. Step 4: Simplify right side
    58,548x = 15,845,774,400
  5. Step 5: Solve for x
    x = 15,845,774,400/58,548
  6. Step 6: Final answer
    x = 270,645.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.