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Finding the Third Proportional to 53,463 and 117,078

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Solution

The third proportional to 53,463 and 117,078 is: 256,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,463 : 117,078 = 117,078 : x
  2. Step 2: Convert to fraction form
    53,463/117,078 = 117,078/x
  3. Step 3: Cross multiply
    53,463x = 117,078 × 117,078
  4. Step 4: Simplify right side
    53,463x = 13,707,258,084
  5. Step 5: Solve for x
    x = 13,707,258,084/53,463
  6. Step 6: Final answer
    x = 256,387.75

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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.