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Finding the Third Proportional to 67,140 and 103,275

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Solution

The third proportional to 67,140 and 103,275 is: 158,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,140 : 103,275 = 103,275 : x
  2. Step 2: Convert to fraction form
    67,140/103,275 = 103,275/x
  3. Step 3: Cross multiply
    67,140x = 103,275 × 103,275
  4. Step 4: Simplify right side
    67,140x = 10,665,725,625
  5. Step 5: Solve for x
    x = 10,665,725,625/67,140
  6. Step 6: Final answer
    x = 158,857.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.