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Finding the Third Proportional to 52,501 and 115,208

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Solution

The third proportional to 52,501 and 115,208 is: 252,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,501 : 115,208 = 115,208 : x
  2. Step 2: Convert to fraction form
    52,501/115,208 = 115,208/x
  3. Step 3: Cross multiply
    52,501x = 115,208 × 115,208
  4. Step 4: Simplify right side
    52,501x = 13,272,883,264
  5. Step 5: Solve for x
    x = 13,272,883,264/52,501
  6. Step 6: Final answer
    x = 252,812.01

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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.