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Finding the Third Proportional to 64,416 and 137,391

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Solution

The third proportional to 64,416 and 137,391 is: 293,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,416 : 137,391 = 137,391 : x
  2. Step 2: Convert to fraction form
    64,416/137,391 = 137,391/x
  3. Step 3: Cross multiply
    64,416x = 137,391 × 137,391
  4. Step 4: Simplify right side
    64,416x = 18,876,286,881
  5. Step 5: Solve for x
    x = 18,876,286,881/64,416
  6. Step 6: Final answer
    x = 293,037.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.