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Finding the Third Proportional to 72,538.88 and 110,891.53

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Solution

The third proportional to 72,538.88 and 110,891.53 is: 169,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,538.88 : 110,891.53 = 110,891.53 : x
  2. Step 2: Convert to fraction form
    72,538.88/110,891.53 = 110,891.53/x
  3. Step 3: Cross multiply
    72,538.88x = 110,891.53 × 110,891.53
  4. Step 4: Simplify right side
    72,538.88x = 12,296,931,702.97
  5. Step 5: Solve for x
    x = 12,296,931,702.97/72,538.88
  6. Step 6: Final answer
    x = 169,521.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.