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Finding the Third Proportional to 122,104.13 and 188,692.88

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Solution

The third proportional to 122,104.13 and 188,692.88 is: 291,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,104.13 : 188,692.88 = 188,692.88 : x
  2. Step 2: Convert to fraction form
    122,104.13/188,692.88 = 188,692.88/x
  3. Step 3: Cross multiply
    122,104.13x = 188,692.88 × 188,692.88
  4. Step 4: Simplify right side
    122,104.13x = 35,605,001,075.77
  5. Step 5: Solve for x
    x = 35,605,001,075.77/122,104.13
  6. Step 6: Final answer
    x = 291,595.40

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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.