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Finding the Third Proportional to 121,402 and 247,619

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Solution

The third proportional to 121,402 and 247,619 is: 505,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,402 : 247,619 = 247,619 : x
  2. Step 2: Convert to fraction form
    121,402/247,619 = 247,619/x
  3. Step 3: Cross multiply
    121,402x = 247,619 × 247,619
  4. Step 4: Simplify right side
    121,402x = 61,315,169,161
  5. Step 5: Solve for x
    x = 61,315,169,161/121,402
  6. Step 6: Final answer
    x = 505,058.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.