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Finding the Third Proportional to 64,974 and 142,357

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Solution

The third proportional to 64,974 and 142,357 is: 311,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,974 : 142,357 = 142,357 : x
  2. Step 2: Convert to fraction form
    64,974/142,357 = 142,357/x
  3. Step 3: Cross multiply
    64,974x = 142,357 × 142,357
  4. Step 4: Simplify right side
    64,974x = 20,265,515,449
  5. Step 5: Solve for x
    x = 20,265,515,449/64,974
  6. Step 6: Final answer
    x = 311,901.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.