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Finding the Third Proportional to 40,953 and 65,117

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Solution

The third proportional to 40,953 and 65,117 is: 103,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,953 : 65,117 = 65,117 : x
  2. Step 2: Convert to fraction form
    40,953/65,117 = 65,117/x
  3. Step 3: Cross multiply
    40,953x = 65,117 × 65,117
  4. Step 4: Simplify right side
    40,953x = 4,240,223,689
  5. Step 5: Solve for x
    x = 4,240,223,689/40,953
  6. Step 6: Final answer
    x = 103,538.78

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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.