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Finding the Third Proportional to 96,497 and 153,165

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Solution

The third proportional to 96,497 and 153,165 is: 243,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,497 : 153,165 = 153,165 : x
  2. Step 2: Convert to fraction form
    96,497/153,165 = 153,165/x
  3. Step 3: Cross multiply
    96,497x = 153,165 × 153,165
  4. Step 4: Simplify right side
    96,497x = 23,459,517,225
  5. Step 5: Solve for x
    x = 23,459,517,225/96,497
  6. Step 6: Final answer
    x = 243,111.36

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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.