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Finding the Third Proportional to 125,303.63 and 275,416.88

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Solution

The third proportional to 125,303.63 and 275,416.88 is: 605,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,303.63 : 275,416.88 = 275,416.88 : x
  2. Step 2: Convert to fraction form
    125,303.63/275,416.88 = 275,416.88/x
  3. Step 3: Cross multiply
    125,303.63x = 275,416.88 × 275,416.88
  4. Step 4: Simplify right side
    125,303.63x = 75,854,455,034.77
  5. Step 5: Solve for x
    x = 75,854,455,034.77/125,303.63
  6. Step 6: Final answer
    x = 605,365.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.