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Finding the Third Proportional to 121,545 and 265,020

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Solution

The third proportional to 121,545 and 265,020 is: 577,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,545 : 265,020 = 265,020 : x
  2. Step 2: Convert to fraction form
    121,545/265,020 = 265,020/x
  3. Step 3: Cross multiply
    121,545x = 265,020 × 265,020
  4. Step 4: Simplify right side
    121,545x = 70,235,600,400
  5. Step 5: Solve for x
    x = 70,235,600,400/121,545
  6. Step 6: Final answer
    x = 577,856.76

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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.