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Finding the Third Proportional to 64,029.75 and 106,176.75

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Solution

The third proportional to 64,029.75 and 106,176.75 is: 176,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,029.75 : 106,176.75 = 106,176.75 : x
  2. Step 2: Convert to fraction form
    64,029.75/106,176.75 = 106,176.75/x
  3. Step 3: Cross multiply
    64,029.75x = 106,176.75 × 106,176.75
  4. Step 4: Simplify right side
    64,029.75x = 11,273,502,240.56
  5. Step 5: Solve for x
    x = 11,273,502,240.56/64,029.75
  6. Step 6: Final answer
    x = 176,066.63

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.