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Finding the Third Proportional to 101,185 and 156,340

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Solution

The third proportional to 101,185 and 156,340 is: 241,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,185 : 156,340 = 156,340 : x
  2. Step 2: Convert to fraction form
    101,185/156,340 = 156,340/x
  3. Step 3: Cross multiply
    101,185x = 156,340 × 156,340
  4. Step 4: Simplify right side
    101,185x = 24,442,195,600
  5. Step 5: Solve for x
    x = 24,442,195,600/101,185
  6. Step 6: Final answer
    x = 241,559.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.