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Finding the Third Proportional to 101,413 and 157,650

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Solution

The third proportional to 101,413 and 157,650 is: 245,072.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413 : 157,650 = 157,650 : x
  2. Step 2: Convert to fraction form
    101,413/157,650 = 157,650/x
  3. Step 3: Cross multiply
    101,413x = 157,650 × 157,650
  4. Step 4: Simplify right side
    101,413x = 24,853,522,500
  5. Step 5: Solve for x
    x = 24,853,522,500/101,413
  6. Step 6: Final answer
    x = 245,072.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.