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Finding the Third Proportional to 52,176.66 and 75,371.77

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Solution

The third proportional to 52,176.66 and 75,371.77 is: 108,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,176.66 : 75,371.77 = 75,371.77 : x
  2. Step 2: Convert to fraction form
    52,176.66/75,371.77 = 75,371.77/x
  3. Step 3: Cross multiply
    52,176.66x = 75,371.77 × 75,371.77
  4. Step 4: Simplify right side
    52,176.66x = 5,680,903,053.43
  5. Step 5: Solve for x
    x = 5,680,903,053.43/52,176.66
  6. Step 6: Final answer
    x = 108,878.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.