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Finding the Third Proportional to 64,904 and 100,222

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Solution

The third proportional to 64,904 and 100,222 is: 154,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,904 : 100,222 = 100,222 : x
  2. Step 2: Convert to fraction form
    64,904/100,222 = 100,222/x
  3. Step 3: Cross multiply
    64,904x = 100,222 × 100,222
  4. Step 4: Simplify right side
    64,904x = 10,044,449,284
  5. Step 5: Solve for x
    x = 10,044,449,284/64,904
  6. Step 6: Final answer
    x = 154,758.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.