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Finding the Third Proportional to 106,221 and 157,887

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Solution

The third proportional to 106,221 and 157,887 is: 234,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,221 : 157,887 = 157,887 : x
  2. Step 2: Convert to fraction form
    106,221/157,887 = 157,887/x
  3. Step 3: Cross multiply
    106,221x = 157,887 × 157,887
  4. Step 4: Simplify right side
    106,221x = 24,928,304,769
  5. Step 5: Solve for x
    x = 24,928,304,769/106,221
  6. Step 6: Final answer
    x = 234,683.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.