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Finding the Third Proportional to 53,184 and 115,104

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Solution

The third proportional to 53,184 and 115,104 is: 249,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,184 : 115,104 = 115,104 : x
  2. Step 2: Convert to fraction form
    53,184/115,104 = 115,104/x
  3. Step 3: Cross multiply
    53,184x = 115,104 × 115,104
  4. Step 4: Simplify right side
    53,184x = 13,248,930,816
  5. Step 5: Solve for x
    x = 13,248,930,816/53,184
  6. Step 6: Final answer
    x = 249,114.97

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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.