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Finding the Third Proportional to 52,830 and 114,471

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Solution

The third proportional to 52,830 and 114,471 is: 248,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,830 : 114,471 = 114,471 : x
  2. Step 2: Convert to fraction form
    52,830/114,471 = 114,471/x
  3. Step 3: Cross multiply
    52,830x = 114,471 × 114,471
  4. Step 4: Simplify right side
    52,830x = 13,103,609,841
  5. Step 5: Solve for x
    x = 13,103,609,841/52,830
  6. Step 6: Final answer
    x = 248,033.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.