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Finding the Third Proportional to 116,726 and 169,987

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Solution

The third proportional to 116,726 and 169,987 is: 247,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,726 : 169,987 = 169,987 : x
  2. Step 2: Convert to fraction form
    116,726/169,987 = 169,987/x
  3. Step 3: Cross multiply
    116,726x = 169,987 × 169,987
  4. Step 4: Simplify right side
    116,726x = 28,895,580,169
  5. Step 5: Solve for x
    x = 28,895,580,169/116,726
  6. Step 6: Final answer
    x = 247,550.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.