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Finding the Third Proportional to 96,498 and 153,167

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Solution

The third proportional to 96,498 and 153,167 is: 243,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,498 : 153,167 = 153,167 : x
  2. Step 2: Convert to fraction form
    96,498/153,167 = 153,167/x
  3. Step 3: Cross multiply
    96,498x = 153,167 × 153,167
  4. Step 4: Simplify right side
    96,498x = 23,460,129,889
  5. Step 5: Solve for x
    x = 23,460,129,889/96,498
  6. Step 6: Final answer
    x = 243,115.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.