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Finding the Third Proportional to 53,442 and 114,040

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Solution

The third proportional to 53,442 and 114,040 is: 243,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,442 : 114,040 = 114,040 : x
  2. Step 2: Convert to fraction form
    53,442/114,040 = 114,040/x
  3. Step 3: Cross multiply
    53,442x = 114,040 × 114,040
  4. Step 4: Simplify right side
    53,442x = 13,005,121,600
  5. Step 5: Solve for x
    x = 13,005,121,600/53,442
  6. Step 6: Final answer
    x = 243,350.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.