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Finding the Third Proportional to 121,802 and 265,737

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Solution

The third proportional to 121,802 and 265,737 is: 579,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,802 : 265,737 = 265,737 : x
  2. Step 2: Convert to fraction form
    121,802/265,737 = 265,737/x
  3. Step 3: Cross multiply
    121,802x = 265,737 × 265,737
  4. Step 4: Simplify right side
    121,802x = 70,616,153,169
  5. Step 5: Solve for x
    x = 70,616,153,169/121,802
  6. Step 6: Final answer
    x = 579,761.85

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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.