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Finding the Third Proportional to 122,829.13 and 260,420.13

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Solution

The third proportional to 122,829.13 and 260,420.13 is: 552,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,829.13 : 260,420.13 = 260,420.13 : x
  2. Step 2: Convert to fraction form
    122,829.13/260,420.13 = 260,420.13/x
  3. Step 3: Cross multiply
    122,829.13x = 260,420.13 × 260,420.13
  4. Step 4: Simplify right side
    122,829.13x = 67,818,641,505.02
  5. Step 5: Solve for x
    x = 67,818,641,505.02/122,829.13
  6. Step 6: Final answer
    x = 552,138.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.