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Finding the Third Proportional to 52,411 and 83,031

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Solution

The third proportional to 52,411 and 83,031 is: 131,540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,411 : 83,031 = 83,031 : x
  2. Step 2: Convert to fraction form
    52,411/83,031 = 83,031/x
  3. Step 3: Cross multiply
    52,411x = 83,031 × 83,031
  4. Step 4: Simplify right side
    52,411x = 6,894,146,961
  5. Step 5: Solve for x
    x = 6,894,146,961/52,411
  6. Step 6: Final answer
    x = 131,540.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.