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Finding the Third Proportional to 125,053.88 and 258,855.75

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Solution

The third proportional to 125,053.88 and 258,855.75 is: 535,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,053.88 : 258,855.75 = 258,855.75 : x
  2. Step 2: Convert to fraction form
    125,053.88/258,855.75 = 258,855.75/x
  3. Step 3: Cross multiply
    125,053.88x = 258,855.75 × 258,855.75
  4. Step 4: Simplify right side
    125,053.88x = 67,006,299,308.06
  5. Step 5: Solve for x
    x = 67,006,299,308.06/125,053.88
  6. Step 6: Final answer
    x = 535,819.46

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.