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Finding the Third Proportional to 102,552 and 155,242.88

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Solution

The third proportional to 102,552 and 155,242.88 is: 235,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,552 : 155,242.88 = 155,242.88 : x
  2. Step 2: Convert to fraction form
    102,552/155,242.88 = 155,242.88/x
  3. Step 3: Cross multiply
    102,552x = 155,242.88 × 155,242.88
  4. Step 4: Simplify right side
    102,552x = 24,100,350,238.27
  5. Step 5: Solve for x
    x = 24,100,350,238.27/102,552
  6. Step 6: Final answer
    x = 235,006.15

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