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Finding the Third Proportional to 53,706 and 115,184

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Solution

The third proportional to 53,706 and 115,184 is: 247,036.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,706 : 115,184 = 115,184 : x
  2. Step 2: Convert to fraction form
    53,706/115,184 = 115,184/x
  3. Step 3: Cross multiply
    53,706x = 115,184 × 115,184
  4. Step 4: Simplify right side
    53,706x = 13,267,353,856
  5. Step 5: Solve for x
    x = 13,267,353,856/53,706
  6. Step 6: Final answer
    x = 247,036.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.