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Finding the Third Proportional to 121,254.75 and 261,868.50

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Solution

The third proportional to 121,254.75 and 261,868.50 is: 565,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,254.75 : 261,868.50 = 261,868.50 : x
  2. Step 2: Convert to fraction form
    121,254.75/261,868.50 = 261,868.50/x
  3. Step 3: Cross multiply
    121,254.75x = 261,868.50 × 261,868.50
  4. Step 4: Simplify right side
    121,254.75x = 68,575,111,292.25
  5. Step 5: Solve for x
    x = 68,575,111,292.25/121,254.75
  6. Step 6: Final answer
    x = 565,545.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.