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Finding the Third Proportional to 64,284 and 137,424

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Solution

The third proportional to 64,284 and 137,424 is: 293,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,284 : 137,424 = 137,424 : x
  2. Step 2: Convert to fraction form
    64,284/137,424 = 137,424/x
  3. Step 3: Cross multiply
    64,284x = 137,424 × 137,424
  4. Step 4: Simplify right side
    64,284x = 18,885,355,776
  5. Step 5: Solve for x
    x = 18,885,355,776/64,284
  6. Step 6: Final answer
    x = 293,780.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.