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Finding the Third Proportional to 64,422 and 137,402

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Solution

The third proportional to 64,422 and 137,402 is: 293,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,422 : 137,402 = 137,402 : x
  2. Step 2: Convert to fraction form
    64,422/137,402 = 137,402/x
  3. Step 3: Cross multiply
    64,422x = 137,402 × 137,402
  4. Step 4: Simplify right side
    64,422x = 18,879,309,604
  5. Step 5: Solve for x
    x = 18,879,309,604/64,422
  6. Step 6: Final answer
    x = 293,056.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.