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Finding the Third Proportional to 53,434 and 115,342

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Solution

The third proportional to 53,434 and 115,342 is: 248,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,434 : 115,342 = 115,342 : x
  2. Step 2: Convert to fraction form
    53,434/115,342 = 115,342/x
  3. Step 3: Cross multiply
    53,434x = 115,342 × 115,342
  4. Step 4: Simplify right side
    53,434x = 13,303,776,964
  5. Step 5: Solve for x
    x = 13,303,776,964/53,434
  6. Step 6: Final answer
    x = 248,975.88

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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.