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Finding the Third Proportional to 97,430 and 155,151

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Solution

The third proportional to 97,430 and 155,151 is: 247,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,430 : 155,151 = 155,151 : x
  2. Step 2: Convert to fraction form
    97,430/155,151 = 155,151/x
  3. Step 3: Cross multiply
    97,430x = 155,151 × 155,151
  4. Step 4: Simplify right side
    97,430x = 24,071,832,801
  5. Step 5: Solve for x
    x = 24,071,832,801/97,430
  6. Step 6: Final answer
    x = 247,067.97

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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.