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Finding the Third Proportional to 121,708.13 and 265,559.63

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Solution

The third proportional to 121,708.13 and 265,559.63 is: 579,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,708.13 : 265,559.63 = 265,559.63 : x
  2. Step 2: Convert to fraction form
    121,708.13/265,559.63 = 265,559.63/x
  3. Step 3: Cross multiply
    121,708.13x = 265,559.63 × 265,559.63
  4. Step 4: Simplify right side
    121,708.13x = 70,521,914,430.14
  5. Step 5: Solve for x
    x = 70,521,914,430.14/121,708.13
  6. Step 6: Final answer
    x = 579,434.73

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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.