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Finding the Third Proportional to 76,074 and 118,719

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Solution

The third proportional to 76,074 and 118,719 is: 185,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,074 : 118,719 = 118,719 : x
  2. Step 2: Convert to fraction form
    76,074/118,719 = 118,719/x
  3. Step 3: Cross multiply
    76,074x = 118,719 × 118,719
  4. Step 4: Simplify right side
    76,074x = 14,094,200,961
  5. Step 5: Solve for x
    x = 14,094,200,961/76,074
  6. Step 6: Final answer
    x = 185,269.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.