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Finding the Third Proportional to 53,952 and 117,786

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Solution

The third proportional to 53,952 and 117,786 is: 257,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,952 : 117,786 = 117,786 : x
  2. Step 2: Convert to fraction form
    53,952/117,786 = 117,786/x
  3. Step 3: Cross multiply
    53,952x = 117,786 × 117,786
  4. Step 4: Simplify right side
    53,952x = 13,873,541,796
  5. Step 5: Solve for x
    x = 13,873,541,796/53,952
  6. Step 6: Final answer
    x = 257,146.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.