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Finding the Third Proportional to 52,850 and 114,412

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Solution

The third proportional to 52,850 and 114,412 is: 247,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,850 : 114,412 = 114,412 : x
  2. Step 2: Convert to fraction form
    52,850/114,412 = 114,412/x
  3. Step 3: Cross multiply
    52,850x = 114,412 × 114,412
  4. Step 4: Simplify right side
    52,850x = 13,090,105,744
  5. Step 5: Solve for x
    x = 13,090,105,744/52,850
  6. Step 6: Final answer
    x = 247,684.12

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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.