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Finding the Third Proportional to 111,549 and 169,937.25

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Solution

The third proportional to 111,549 and 169,937.25 is: 258,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,549 : 169,937.25 = 169,937.25 : x
  2. Step 2: Convert to fraction form
    111,549/169,937.25 = 169,937.25/x
  3. Step 3: Cross multiply
    111,549x = 169,937.25 × 169,937.25
  4. Step 4: Simplify right side
    111,549x = 28,878,668,937.56
  5. Step 5: Solve for x
    x = 28,878,668,937.56/111,549
  6. Step 6: Final answer
    x = 258,887.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.