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Finding the Third Proportional to 102,552 and 157,068

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Solution

The third proportional to 102,552 and 157,068 is: 240,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,552 : 157,068 = 157,068 : x
  2. Step 2: Convert to fraction form
    102,552/157,068 = 157,068/x
  3. Step 3: Cross multiply
    102,552x = 157,068 × 157,068
  4. Step 4: Simplify right side
    102,552x = 24,670,356,624
  5. Step 5: Solve for x
    x = 24,670,356,624/102,552
  6. Step 6: Final answer
    x = 240,564.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.