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Finding the Third Proportional to 53,186 and 115,108

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Solution

The third proportional to 53,186 and 115,108 is: 249,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,186 : 115,108 = 115,108 : x
  2. Step 2: Convert to fraction form
    53,186/115,108 = 115,108/x
  3. Step 3: Cross multiply
    53,186x = 115,108 × 115,108
  4. Step 4: Simplify right side
    53,186x = 13,249,851,664
  5. Step 5: Solve for x
    x = 13,249,851,664/53,186
  6. Step 6: Final answer
    x = 249,122.92

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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.