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Finding the Third Proportional to 52,617 and 115,421

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Solution

The third proportional to 52,617 and 115,421 is: 253,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,617 : 115,421 = 115,421 : x
  2. Step 2: Convert to fraction form
    52,617/115,421 = 115,421/x
  3. Step 3: Cross multiply
    52,617x = 115,421 × 115,421
  4. Step 4: Simplify right side
    52,617x = 13,322,007,241
  5. Step 5: Solve for x
    x = 13,322,007,241/52,617
  6. Step 6: Final answer
    x = 253,188.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.