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Finding the Third Proportional to 102,002 and 157,552

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Solution

The third proportional to 102,002 and 157,552 is: 243,354.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002 : 157,552 = 157,552 : x
  2. Step 2: Convert to fraction form
    102,002/157,552 = 157,552/x
  3. Step 3: Cross multiply
    102,002x = 157,552 × 157,552
  4. Step 4: Simplify right side
    102,002x = 24,822,632,704
  5. Step 5: Solve for x
    x = 24,822,632,704/102,002
  6. Step 6: Final answer
    x = 243,354.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.