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Finding the Third Proportional to 52,234 and 112,779

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Solution

The third proportional to 52,234 and 112,779 is: 243,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,234 : 112,779 = 112,779 : x
  2. Step 2: Convert to fraction form
    52,234/112,779 = 112,779/x
  3. Step 3: Cross multiply
    52,234x = 112,779 × 112,779
  4. Step 4: Simplify right side
    52,234x = 12,719,102,841
  5. Step 5: Solve for x
    x = 12,719,102,841/52,234
  6. Step 6: Final answer
    x = 243,502.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.