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Finding the Third Proportional to 111,574 and 169,987

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Solution

The third proportional to 111,574 and 169,987 is: 258,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,574 : 169,987 = 169,987 : x
  2. Step 2: Convert to fraction form
    111,574/169,987 = 169,987/x
  3. Step 3: Cross multiply
    111,574x = 169,987 × 169,987
  4. Step 4: Simplify right side
    111,574x = 28,895,580,169
  5. Step 5: Solve for x
    x = 28,895,580,169/111,574
  6. Step 6: Final answer
    x = 258,981.31

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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.