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Finding the Third Proportional to 52,789 and 112,055

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Solution

The third proportional to 52,789 and 112,055 is: 237,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,789 : 112,055 = 112,055 : x
  2. Step 2: Convert to fraction form
    52,789/112,055 = 112,055/x
  3. Step 3: Cross multiply
    52,789x = 112,055 × 112,055
  4. Step 4: Simplify right side
    52,789x = 12,556,323,025
  5. Step 5: Solve for x
    x = 12,556,323,025/52,789
  6. Step 6: Final answer
    x = 237,858.70

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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.