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Finding the Third Proportional to 52,031 and 110,541

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Solution

The third proportional to 52,031 and 110,541 is: 234,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,031 : 110,541 = 110,541 : x
  2. Step 2: Convert to fraction form
    52,031/110,541 = 110,541/x
  3. Step 3: Cross multiply
    52,031x = 110,541 × 110,541
  4. Step 4: Simplify right side
    52,031x = 12,219,312,681
  5. Step 5: Solve for x
    x = 12,219,312,681/52,031
  6. Step 6: Final answer
    x = 234,846.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.