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Finding the Third Proportional to 53,174 and 115,105

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Solution

The third proportional to 53,174 and 115,105 is: 249,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,174 : 115,105 = 115,105 : x
  2. Step 2: Convert to fraction form
    53,174/115,105 = 115,105/x
  3. Step 3: Cross multiply
    53,174x = 115,105 × 115,105
  4. Step 4: Simplify right side
    53,174x = 13,249,161,025
  5. Step 5: Solve for x
    x = 13,249,161,025/53,174
  6. Step 6: Final answer
    x = 249,166.15

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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.