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Finding the Third Proportional to 55,476 and 90,129.38

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Solution

The third proportional to 55,476 and 90,129.38 is: 146,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,476 : 90,129.38 = 90,129.38 : x
  2. Step 2: Convert to fraction form
    55,476/90,129.38 = 90,129.38/x
  3. Step 3: Cross multiply
    55,476x = 90,129.38 × 90,129.38
  4. Step 4: Simplify right side
    55,476x = 8,123,304,237.89
  5. Step 5: Solve for x
    x = 8,123,304,237.89/55,476
  6. Step 6: Final answer
    x = 146,429.16

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.