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Finding the Third Proportional to 114,769 and 168,650

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Solution

The third proportional to 114,769 and 168,650 is: 247,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,769 : 168,650 = 168,650 : x
  2. Step 2: Convert to fraction form
    114,769/168,650 = 168,650/x
  3. Step 3: Cross multiply
    114,769x = 168,650 × 168,650
  4. Step 4: Simplify right side
    114,769x = 28,442,822,500
  5. Step 5: Solve for x
    x = 28,442,822,500/114,769
  6. Step 6: Final answer
    x = 247,826.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.