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Finding the Third Proportional to 67,320 and 104,535

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Solution

The third proportional to 67,320 and 104,535 is: 162,322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,320 : 104,535 = 104,535 : x
  2. Step 2: Convert to fraction form
    67,320/104,535 = 104,535/x
  3. Step 3: Cross multiply
    67,320x = 104,535 × 104,535
  4. Step 4: Simplify right side
    67,320x = 10,927,566,225
  5. Step 5: Solve for x
    x = 10,927,566,225/67,320
  6. Step 6: Final answer
    x = 162,322.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.