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Finding the Third Proportional to 122,077.13 and 262,561.50

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Solution

The third proportional to 122,077.13 and 262,561.50 is: 564,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,077.13 : 262,561.50 = 262,561.50 : x
  2. Step 2: Convert to fraction form
    122,077.13/262,561.50 = 262,561.50/x
  3. Step 3: Cross multiply
    122,077.13x = 262,561.50 × 262,561.50
  4. Step 4: Simplify right side
    122,077.13x = 68,938,541,282.25
  5. Step 5: Solve for x
    x = 68,938,541,282.25/122,077.13
  6. Step 6: Final answer
    x = 564,713.01

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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.