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Finding the Third Proportional to 64,122 and 137,716

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Solution

The third proportional to 64,122 and 137,716 is: 295,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,122 : 137,716 = 137,716 : x
  2. Step 2: Convert to fraction form
    64,122/137,716 = 137,716/x
  3. Step 3: Cross multiply
    64,122x = 137,716 × 137,716
  4. Step 4: Simplify right side
    64,122x = 18,965,696,656
  5. Step 5: Solve for x
    x = 18,965,696,656/64,122
  6. Step 6: Final answer
    x = 295,775.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.