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Finding the Third Proportional to 123,241.75 and 265,164.13

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Solution

The third proportional to 123,241.75 and 265,164.13 is: 570,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,241.75 : 265,164.13 = 265,164.13 : x
  2. Step 2: Convert to fraction form
    123,241.75/265,164.13 = 265,164.13/x
  3. Step 3: Cross multiply
    123,241.75x = 265,164.13 × 265,164.13
  4. Step 4: Simplify right side
    123,241.75x = 70,312,013,187.02
  5. Step 5: Solve for x
    x = 70,312,013,187.02/123,241.75
  6. Step 6: Final answer
    x = 570,521.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.