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Finding the Third Proportional to 31,753 and 69,985

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Solution

The third proportional to 31,753 and 69,985 is: 154,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753 : 69,985 = 69,985 : x
  2. Step 2: Convert to fraction form
    31,753/69,985 = 69,985/x
  3. Step 3: Cross multiply
    31,753x = 69,985 × 69,985
  4. Step 4: Simplify right side
    31,753x = 4,897,900,225
  5. Step 5: Solve for x
    x = 4,897,900,225/31,753
  6. Step 6: Final answer
    x = 154,250.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.