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Finding the Third Proportional to 52,260 and 123,346

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Solution

The third proportional to 52,260 and 123,346 is: 291,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,260 : 123,346 = 123,346 : x
  2. Step 2: Convert to fraction form
    52,260/123,346 = 123,346/x
  3. Step 3: Cross multiply
    52,260x = 123,346 × 123,346
  4. Step 4: Simplify right side
    52,260x = 15,214,235,716
  5. Step 5: Solve for x
    x = 15,214,235,716/52,260
  6. Step 6: Final answer
    x = 291,125.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.