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Finding the Third Proportional to 121,187 and 253,510

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Solution

The third proportional to 121,187 and 253,510 is: 530,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,187 : 253,510 = 253,510 : x
  2. Step 2: Convert to fraction form
    121,187/253,510 = 253,510/x
  3. Step 3: Cross multiply
    121,187x = 253,510 × 253,510
  4. Step 4: Simplify right side
    121,187x = 64,267,320,100
  5. Step 5: Solve for x
    x = 64,267,320,100/121,187
  6. Step 6: Final answer
    x = 530,315.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.