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Finding the Third Proportional to 68,548 and 93,385

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Solution

The third proportional to 68,548 and 93,385 is: 127,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,548 : 93,385 = 93,385 : x
  2. Step 2: Convert to fraction form
    68,548/93,385 = 93,385/x
  3. Step 3: Cross multiply
    68,548x = 93,385 × 93,385
  4. Step 4: Simplify right side
    68,548x = 8,720,758,225
  5. Step 5: Solve for x
    x = 8,720,758,225/68,548
  6. Step 6: Final answer
    x = 127,221.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.