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Finding the Third Proportional to 67,365 and 98,084.25

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Solution

The third proportional to 67,365 and 98,084.25 is: 142,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,365 : 98,084.25 = 98,084.25 : x
  2. Step 2: Convert to fraction form
    67,365/98,084.25 = 98,084.25/x
  3. Step 3: Cross multiply
    67,365x = 98,084.25 × 98,084.25
  4. Step 4: Simplify right side
    67,365x = 9,620,520,098.06
  5. Step 5: Solve for x
    x = 9,620,520,098.06/67,365
  6. Step 6: Final answer
    x = 142,811.85

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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.