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Finding the Third Proportional to 101,698 and 153,860

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Solution

The third proportional to 101,698 and 153,860 is: 232,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,698 : 153,860 = 153,860 : x
  2. Step 2: Convert to fraction form
    101,698/153,860 = 153,860/x
  3. Step 3: Cross multiply
    101,698x = 153,860 × 153,860
  4. Step 4: Simplify right side
    101,698x = 23,672,899,600
  5. Step 5: Solve for x
    x = 23,672,899,600/101,698
  6. Step 6: Final answer
    x = 232,776.45

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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.