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Finding the Third Proportional to 121,095 and 265,275

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Solution

The third proportional to 121,095 and 265,275 is: 581,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,095 : 265,275 = 265,275 : x
  2. Step 2: Convert to fraction form
    121,095/265,275 = 265,275/x
  3. Step 3: Cross multiply
    121,095x = 265,275 × 265,275
  4. Step 4: Simplify right side
    121,095x = 70,370,825,625
  5. Step 5: Solve for x
    x = 70,370,825,625/121,095
  6. Step 6: Final answer
    x = 581,120.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.