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Finding the Third Proportional to 65,342 and 103,575

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Solution

The third proportional to 65,342 and 103,575 is: 164,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,342 : 103,575 = 103,575 : x
  2. Step 2: Convert to fraction form
    65,342/103,575 = 103,575/x
  3. Step 3: Cross multiply
    65,342x = 103,575 × 103,575
  4. Step 4: Simplify right side
    65,342x = 10,727,780,625
  5. Step 5: Solve for x
    x = 10,727,780,625/65,342
  6. Step 6: Final answer
    x = 164,178.95

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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.