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Finding the Third Proportional to 112,080 and 173,548

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Solution

The third proportional to 112,080 and 173,548 is: 268,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,080 : 173,548 = 173,548 : x
  2. Step 2: Convert to fraction form
    112,080/173,548 = 173,548/x
  3. Step 3: Cross multiply
    112,080x = 173,548 × 173,548
  4. Step 4: Simplify right side
    112,080x = 30,118,908,304
  5. Step 5: Solve for x
    x = 30,118,908,304/112,080
  6. Step 6: Final answer
    x = 268,726.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.