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Finding the Third Proportional to 97,824 and 155,612

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Solution

The third proportional to 97,824 and 155,612 is: 247,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,824 : 155,612 = 155,612 : x
  2. Step 2: Convert to fraction form
    97,824/155,612 = 155,612/x
  3. Step 3: Cross multiply
    97,824x = 155,612 × 155,612
  4. Step 4: Simplify right side
    97,824x = 24,215,094,544
  5. Step 5: Solve for x
    x = 24,215,094,544/97,824
  6. Step 6: Final answer
    x = 247,537.36

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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.