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Finding the Third Proportional to 119,656.50 and 259,125

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Solution

The third proportional to 119,656.50 and 259,125 is: 561,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,656.50 : 259,125 = 259,125 : x
  2. Step 2: Convert to fraction form
    119,656.50/259,125 = 259,125/x
  3. Step 3: Cross multiply
    119,656.50x = 259,125 × 259,125
  4. Step 4: Simplify right side
    119,656.50x = 67,145,765,625
  5. Step 5: Solve for x
    x = 67,145,765,625/119,656.50
  6. Step 6: Final answer
    x = 561,154.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.