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Finding the Third Proportional to 67,826 and 99,778

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Solution

The third proportional to 67,826 and 99,778 is: 146,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,826 : 99,778 = 99,778 : x
  2. Step 2: Convert to fraction form
    67,826/99,778 = 99,778/x
  3. Step 3: Cross multiply
    67,826x = 99,778 × 99,778
  4. Step 4: Simplify right side
    67,826x = 9,955,649,284
  5. Step 5: Solve for x
    x = 9,955,649,284/67,826
  6. Step 6: Final answer
    x = 146,782.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.