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Finding the Third Proportional to 71,355 and 109,716

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Solution

The third proportional to 71,355 and 109,716 is: 168,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,355 : 109,716 = 109,716 : x
  2. Step 2: Convert to fraction form
    71,355/109,716 = 109,716/x
  3. Step 3: Cross multiply
    71,355x = 109,716 × 109,716
  4. Step 4: Simplify right side
    71,355x = 12,037,600,656
  5. Step 5: Solve for x
    x = 12,037,600,656/71,355
  6. Step 6: Final answer
    x = 168,700.17

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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.