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Finding the Third Proportional to 53,303 and 110,926

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Solution

The third proportional to 53,303 and 110,926 is: 230,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,303 : 110,926 = 110,926 : x
  2. Step 2: Convert to fraction form
    53,303/110,926 = 110,926/x
  3. Step 3: Cross multiply
    53,303x = 110,926 × 110,926
  4. Step 4: Simplify right side
    53,303x = 12,304,577,476
  5. Step 5: Solve for x
    x = 12,304,577,476/53,303
  6. Step 6: Final answer
    x = 230,842.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.