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Finding the Third Proportional to 68,320 and 101,484

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Solution

The third proportional to 68,320 and 101,484 is: 150,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,320 : 101,484 = 101,484 : x
  2. Step 2: Convert to fraction form
    68,320/101,484 = 101,484/x
  3. Step 3: Cross multiply
    68,320x = 101,484 × 101,484
  4. Step 4: Simplify right side
    68,320x = 10,299,002,256
  5. Step 5: Solve for x
    x = 10,299,002,256/68,320
  6. Step 6: Final answer
    x = 150,746.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.