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Finding the Third Proportional to 121,042 and 265,974

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Solution

The third proportional to 121,042 and 265,974 is: 584,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,042 : 265,974 = 265,974 : x
  2. Step 2: Convert to fraction form
    121,042/265,974 = 265,974/x
  3. Step 3: Cross multiply
    121,042x = 265,974 × 265,974
  4. Step 4: Simplify right side
    121,042x = 70,742,168,676
  5. Step 5: Solve for x
    x = 70,742,168,676/121,042
  6. Step 6: Final answer
    x = 584,443.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.