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Finding the Third Proportional to 100,930 and 156,726

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Solution

The third proportional to 100,930 and 156,726 is: 243,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,930 : 156,726 = 156,726 : x
  2. Step 2: Convert to fraction form
    100,930/156,726 = 156,726/x
  3. Step 3: Cross multiply
    100,930x = 156,726 × 156,726
  4. Step 4: Simplify right side
    100,930x = 24,563,039,076
  5. Step 5: Solve for x
    x = 24,563,039,076/100,930
  6. Step 6: Final answer
    x = 243,367.08

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