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Finding the Third Proportional to 105,057.66 and 157,215.23

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Solution

The third proportional to 105,057.66 and 157,215.23 is: 235,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057.66 : 157,215.23 = 157,215.23 : x
  2. Step 2: Convert to fraction form
    105,057.66/157,215.23 = 157,215.23/x
  3. Step 3: Cross multiply
    105,057.66x = 157,215.23 × 157,215.23
  4. Step 4: Simplify right side
    105,057.66x = 24,716,629,919.59
  5. Step 5: Solve for x
    x = 24,716,629,919.59/105,057.66
  6. Step 6: Final answer
    x = 235,267.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.