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Finding the Third Proportional to 74,074 and 114,711

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Solution

The third proportional to 74,074 and 114,711 is: 177,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,074 : 114,711 = 114,711 : x
  2. Step 2: Convert to fraction form
    74,074/114,711 = 114,711/x
  3. Step 3: Cross multiply
    74,074x = 114,711 × 114,711
  4. Step 4: Simplify right side
    74,074x = 13,158,613,521
  5. Step 5: Solve for x
    x = 13,158,613,521/74,074
  6. Step 6: Final answer
    x = 177,641.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.