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Finding the Third Proportional to 67,346 and 99,716

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Solution

The third proportional to 67,346 and 99,716 is: 147,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,346 : 99,716 = 99,716 : x
  2. Step 2: Convert to fraction form
    67,346/99,716 = 99,716/x
  3. Step 3: Cross multiply
    67,346x = 99,716 × 99,716
  4. Step 4: Simplify right side
    67,346x = 9,943,280,656
  5. Step 5: Solve for x
    x = 9,943,280,656/67,346
  6. Step 6: Final answer
    x = 147,644.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.