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Finding the Third Proportional to 67,275 and 107,068.50

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Solution

The third proportional to 67,275 and 107,068.50 is: 170,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,275 : 107,068.50 = 107,068.50 : x
  2. Step 2: Convert to fraction form
    67,275/107,068.50 = 107,068.50/x
  3. Step 3: Cross multiply
    67,275x = 107,068.50 × 107,068.50
  4. Step 4: Simplify right side
    67,275x = 11,463,663,692.25
  5. Step 5: Solve for x
    x = 11,463,663,692.25/67,275
  6. Step 6: Final answer
    x = 170,400.05

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.