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Finding the Third Proportional to 64,432 and 135,904

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Solution

The third proportional to 64,432 and 135,904 is: 286,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,432 : 135,904 = 135,904 : x
  2. Step 2: Convert to fraction form
    64,432/135,904 = 135,904/x
  3. Step 3: Cross multiply
    64,432x = 135,904 × 135,904
  4. Step 4: Simplify right side
    64,432x = 18,469,897,216
  5. Step 5: Solve for x
    x = 18,469,897,216/64,432
  6. Step 6: Final answer
    x = 286,657.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.