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Finding the Third Proportional to 101,702 and 153,866

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Solution

The third proportional to 101,702 and 153,866 is: 232,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,702 : 153,866 = 153,866 : x
  2. Step 2: Convert to fraction form
    101,702/153,866 = 153,866/x
  3. Step 3: Cross multiply
    101,702x = 153,866 × 153,866
  4. Step 4: Simplify right side
    101,702x = 23,674,745,956
  5. Step 5: Solve for x
    x = 23,674,745,956/101,702
  6. Step 6: Final answer
    x = 232,785.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.