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Finding the Third Proportional to 52,384 and 97,108

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Solution

The third proportional to 52,384 and 97,108 is: 180,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,384 : 97,108 = 97,108 : x
  2. Step 2: Convert to fraction form
    52,384/97,108 = 97,108/x
  3. Step 3: Cross multiply
    52,384x = 97,108 × 97,108
  4. Step 4: Simplify right side
    52,384x = 9,429,963,664
  5. Step 5: Solve for x
    x = 9,429,963,664/52,384
  6. Step 6: Final answer
    x = 180,016.11

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.