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Finding the Third Proportional to 31,650 and 68,316

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Solution

The third proportional to 31,650 and 68,316 is: 147,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650 : 68,316 = 68,316 : x
  2. Step 2: Convert to fraction form
    31,650/68,316 = 68,316/x
  3. Step 3: Cross multiply
    31,650x = 68,316 × 68,316
  4. Step 4: Simplify right side
    31,650x = 4,667,075,856
  5. Step 5: Solve for x
    x = 4,667,075,856/31,650
  6. Step 6: Final answer
    x = 147,458.95

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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.