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Finding the Third Proportional to 121,740.75 and 265,623.75

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Solution

The third proportional to 121,740.75 and 265,623.75 is: 579,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,740.75 : 265,623.75 = 265,623.75 : x
  2. Step 2: Convert to fraction form
    121,740.75/265,623.75 = 265,623.75/x
  3. Step 3: Cross multiply
    121,740.75x = 265,623.75 × 265,623.75
  4. Step 4: Simplify right side
    121,740.75x = 70,555,976,564.06
  5. Step 5: Solve for x
    x = 70,555,976,564.06/121,740.75
  6. Step 6: Final answer
    x = 579,559.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.