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Finding the Third Proportional to 71,484.19 and 154,737.56

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Solution

The third proportional to 71,484.19 and 154,737.56 is: 334,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,484.19 : 154,737.56 = 154,737.56 : x
  2. Step 2: Convert to fraction form
    71,484.19/154,737.56 = 154,737.56/x
  3. Step 3: Cross multiply
    71,484.19x = 154,737.56 × 154,737.56
  4. Step 4: Simplify right side
    71,484.19x = 23,943,713,248.44
  5. Step 5: Solve for x
    x = 23,943,713,248.44/71,484.19
  6. Step 6: Final answer
    x = 334,951.18

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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.