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Finding the Third Proportional to 34,986 and 75,499

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Solution

The third proportional to 34,986 and 75,499 is: 162,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,986 : 75,499 = 75,499 : x
  2. Step 2: Convert to fraction form
    34,986/75,499 = 75,499/x
  3. Step 3: Cross multiply
    34,986x = 75,499 × 75,499
  4. Step 4: Simplify right side
    34,986x = 5,700,099,001
  5. Step 5: Solve for x
    x = 5,700,099,001/34,986
  6. Step 6: Final answer
    x = 162,925.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.