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Finding the Third Proportional to 121,734.75 and 265,612.50

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Solution

The third proportional to 121,734.75 and 265,612.50 is: 579,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,734.75 : 265,612.50 = 265,612.50 : x
  2. Step 2: Convert to fraction form
    121,734.75/265,612.50 = 265,612.50/x
  3. Step 3: Cross multiply
    121,734.75x = 265,612.50 × 265,612.50
  4. Step 4: Simplify right side
    121,734.75x = 70,550,000,156.25
  5. Step 5: Solve for x
    x = 70,550,000,156.25/121,734.75
  6. Step 6: Final answer
    x = 579,538.71

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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.