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Finding the Third Proportional to 68,403 and 109,277

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Solution

The third proportional to 68,403 and 109,277 is: 174,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,403 : 109,277 = 109,277 : x
  2. Step 2: Convert to fraction form
    68,403/109,277 = 109,277/x
  3. Step 3: Cross multiply
    68,403x = 109,277 × 109,277
  4. Step 4: Simplify right side
    68,403x = 11,941,462,729
  5. Step 5: Solve for x
    x = 11,941,462,729/68,403
  6. Step 6: Final answer
    x = 174,575.13

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.