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Finding the Third Proportional to 30,167 and 64,340

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Solution

The third proportional to 30,167 and 64,340 is: 137,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,167 : 64,340 = 64,340 : x
  2. Step 2: Convert to fraction form
    30,167/64,340 = 64,340/x
  3. Step 3: Cross multiply
    30,167x = 64,340 × 64,340
  4. Step 4: Simplify right side
    30,167x = 4,139,635,600
  5. Step 5: Solve for x
    x = 4,139,635,600/30,167
  6. Step 6: Final answer
    x = 137,223.97

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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.