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Finding the Third Proportional to 53,420 and 113,743

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Solution

The third proportional to 53,420 and 113,743 is: 242,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,420 : 113,743 = 113,743 : x
  2. Step 2: Convert to fraction form
    53,420/113,743 = 113,743/x
  3. Step 3: Cross multiply
    53,420x = 113,743 × 113,743
  4. Step 4: Simplify right side
    53,420x = 12,937,470,049
  5. Step 5: Solve for x
    x = 12,937,470,049/53,420
  6. Step 6: Final answer
    x = 242,184.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.