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Finding the Third Proportional to 45,942 and 67,089.75

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Solution

The third proportional to 45,942 and 67,089.75 is: 97,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,942 : 67,089.75 = 67,089.75 : x
  2. Step 2: Convert to fraction form
    45,942/67,089.75 = 67,089.75/x
  3. Step 3: Cross multiply
    45,942x = 67,089.75 × 67,089.75
  4. Step 4: Simplify right side
    45,942x = 4,501,034,555.06
  5. Step 5: Solve for x
    x = 4,501,034,555.06/45,942
  6. Step 6: Final answer
    x = 97,972.11

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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.