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Finding the Third Proportional to 103,365.56 and 155,651.06

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Solution

The third proportional to 103,365.56 and 155,651.06 is: 234,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,365.56 : 155,651.06 = 155,651.06 : x
  2. Step 2: Convert to fraction form
    103,365.56/155,651.06 = 155,651.06/x
  3. Step 3: Cross multiply
    103,365.56x = 155,651.06 × 155,651.06
  4. Step 4: Simplify right side
    103,365.56x = 24,227,253,257.38
  5. Step 5: Solve for x
    x = 24,227,253,257.38/103,365.56
  6. Step 6: Final answer
    x = 234,384.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.