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Finding the Third Proportional to 64,360 and 102,412

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Solution

The third proportional to 64,360 and 102,412 is: 162,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,360 : 102,412 = 102,412 : x
  2. Step 2: Convert to fraction form
    64,360/102,412 = 102,412/x
  3. Step 3: Cross multiply
    64,360x = 102,412 × 102,412
  4. Step 4: Simplify right side
    64,360x = 10,488,217,744
  5. Step 5: Solve for x
    x = 10,488,217,744/64,360
  6. Step 6: Final answer
    x = 162,961.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.