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Finding the Third Proportional to 64,444 and 94,192

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Solution

The third proportional to 64,444 and 94,192 is: 137,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,444 : 94,192 = 94,192 : x
  2. Step 2: Convert to fraction form
    64,444/94,192 = 94,192/x
  3. Step 3: Cross multiply
    64,444x = 94,192 × 94,192
  4. Step 4: Simplify right side
    64,444x = 8,872,132,864
  5. Step 5: Solve for x
    x = 8,872,132,864/64,444
  6. Step 6: Final answer
    x = 137,671.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.