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Finding the Third Proportional to 65,390 and 103,674

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Solution

The third proportional to 65,390 and 103,674 is: 164,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,390 : 103,674 = 103,674 : x
  2. Step 2: Convert to fraction form
    65,390/103,674 = 103,674/x
  3. Step 3: Cross multiply
    65,390x = 103,674 × 103,674
  4. Step 4: Simplify right side
    65,390x = 10,748,298,276
  5. Step 5: Solve for x
    x = 10,748,298,276/65,390
  6. Step 6: Final answer
    x = 164,372.20

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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.