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Finding the Third Proportional to 102,753 and 157,045

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Solution

The third proportional to 102,753 and 157,045 is: 240,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,753 : 157,045 = 157,045 : x
  2. Step 2: Convert to fraction form
    102,753/157,045 = 157,045/x
  3. Step 3: Cross multiply
    102,753x = 157,045 × 157,045
  4. Step 4: Simplify right side
    102,753x = 24,663,132,025
  5. Step 5: Solve for x
    x = 24,663,132,025/102,753
  6. Step 6: Final answer
    x = 240,023.47

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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.