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Finding the Third Proportional to 98,795 and 156,941

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Solution

The third proportional to 98,795 and 156,941 is: 249,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,795 : 156,941 = 156,941 : x
  2. Step 2: Convert to fraction form
    98,795/156,941 = 156,941/x
  3. Step 3: Cross multiply
    98,795x = 156,941 × 156,941
  4. Step 4: Simplify right side
    98,795x = 24,630,477,481
  5. Step 5: Solve for x
    x = 24,630,477,481/98,795
  6. Step 6: Final answer
    x = 249,308.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.