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Finding the Third Proportional to 53,103 and 114,810

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Solution

The third proportional to 53,103 and 114,810 is: 248,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,103 : 114,810 = 114,810 : x
  2. Step 2: Convert to fraction form
    53,103/114,810 = 114,810/x
  3. Step 3: Cross multiply
    53,103x = 114,810 × 114,810
  4. Step 4: Simplify right side
    53,103x = 13,181,336,100
  5. Step 5: Solve for x
    x = 13,181,336,100/53,103
  6. Step 6: Final answer
    x = 248,222.06

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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.