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Finding the Third Proportional to 71,594 and 154,987

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Solution

The third proportional to 71,594 and 154,987 is: 335,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,594 : 154,987 = 154,987 : x
  2. Step 2: Convert to fraction form
    71,594/154,987 = 154,987/x
  3. Step 3: Cross multiply
    71,594x = 154,987 × 154,987
  4. Step 4: Simplify right side
    71,594x = 24,020,970,169
  5. Step 5: Solve for x
    x = 24,020,970,169/71,594
  6. Step 6: Final answer
    x = 335,516.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.