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Finding the Third Proportional to 100,726 and 156,677

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Solution

The third proportional to 100,726 and 156,677 is: 243,707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,726 : 156,677 = 156,677 : x
  2. Step 2: Convert to fraction form
    100,726/156,677 = 156,677/x
  3. Step 3: Cross multiply
    100,726x = 156,677 × 156,677
  4. Step 4: Simplify right side
    100,726x = 24,547,682,329
  5. Step 5: Solve for x
    x = 24,547,682,329/100,726
  6. Step 6: Final answer
    x = 243,707.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.