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Finding the Third Proportional to 125,991.07 and 195,080.91

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Solution

The third proportional to 125,991.07 and 195,080.91 is: 302,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,991.07 : 195,080.91 = 195,080.91 : x
  2. Step 2: Convert to fraction form
    125,991.07/195,080.91 = 195,080.91/x
  3. Step 3: Cross multiply
    125,991.07x = 195,080.91 × 195,080.91
  4. Step 4: Simplify right side
    125,991.07x = 38,056,559,983.32
  5. Step 5: Solve for x
    x = 38,056,559,983.32/125,991.07
  6. Step 6: Final answer
    x = 302,057.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.