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Finding the Third Proportional to 122,107.50 and 260,344.13

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Solution

The third proportional to 122,107.50 and 260,344.13 is: 555,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,107.50 : 260,344.13 = 260,344.13 : x
  2. Step 2: Convert to fraction form
    122,107.50/260,344.13 = 260,344.13/x
  3. Step 3: Cross multiply
    122,107.50x = 260,344.13 × 260,344.13
  4. Step 4: Simplify right side
    122,107.50x = 67,779,063,422.02
  5. Step 5: Solve for x
    x = 67,779,063,422.02/122,107.50
  6. Step 6: Final answer
    x = 555,076.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.