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Finding the Third Proportional to 100,232 and 154,127

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Solution

The third proportional to 100,232 and 154,127 is: 237,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,232 : 154,127 = 154,127 : x
  2. Step 2: Convert to fraction form
    100,232/154,127 = 154,127/x
  3. Step 3: Cross multiply
    100,232x = 154,127 × 154,127
  4. Step 4: Simplify right side
    100,232x = 23,755,132,129
  5. Step 5: Solve for x
    x = 23,755,132,129/100,232
  6. Step 6: Final answer
    x = 237,001.48

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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.