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Finding the Third Proportional to 60,938 and 94,172

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Solution

The third proportional to 60,938 and 94,172 is: 145,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,938 : 94,172 = 94,172 : x
  2. Step 2: Convert to fraction form
    60,938/94,172 = 94,172/x
  3. Step 3: Cross multiply
    60,938x = 94,172 × 94,172
  4. Step 4: Simplify right side
    60,938x = 8,868,365,584
  5. Step 5: Solve for x
    x = 8,868,365,584/60,938
  6. Step 6: Final answer
    x = 145,530.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.