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Finding the Third Proportional to 67,826 and 99,147

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Solution

The third proportional to 67,826 and 99,147 is: 144,931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,826 : 99,147 = 99,147 : x
  2. Step 2: Convert to fraction form
    67,826/99,147 = 99,147/x
  3. Step 3: Cross multiply
    67,826x = 99,147 × 99,147
  4. Step 4: Simplify right side
    67,826x = 9,830,127,609
  5. Step 5: Solve for x
    x = 9,830,127,609/67,826
  6. Step 6: Final answer
    x = 144,931.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.