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Finding the Third Proportional to 52,966.50 and 74,085

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Solution

The third proportional to 52,966.50 and 74,085 is: 103,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,966.50 : 74,085 = 74,085 : x
  2. Step 2: Convert to fraction form
    52,966.50/74,085 = 74,085/x
  3. Step 3: Cross multiply
    52,966.50x = 74,085 × 74,085
  4. Step 4: Simplify right side
    52,966.50x = 5,488,587,225
  5. Step 5: Solve for x
    x = 5,488,587,225/52,966.50
  6. Step 6: Final answer
    x = 103,623.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.