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Finding the Third Proportional to 125,987.91 and 195,075.84

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Solution

The third proportional to 125,987.91 and 195,075.84 is: 302,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,987.91 : 195,075.84 = 195,075.84 : x
  2. Step 2: Convert to fraction form
    125,987.91/195,075.84 = 195,075.84/x
  3. Step 3: Cross multiply
    125,987.91x = 195,075.84 × 195,075.84
  4. Step 4: Simplify right side
    125,987.91x = 38,054,584,814.77
  5. Step 5: Solve for x
    x = 38,054,584,814.77/125,987.91
  6. Step 6: Final answer
    x = 302,049.51

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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.