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Finding the Third Proportional to 117,114 and 175,353

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Solution

The third proportional to 117,114 and 175,353 is: 262,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,114 : 175,353 = 175,353 : x
  2. Step 2: Convert to fraction form
    117,114/175,353 = 175,353/x
  3. Step 3: Cross multiply
    117,114x = 175,353 × 175,353
  4. Step 4: Simplify right side
    117,114x = 30,748,674,609
  5. Step 5: Solve for x
    x = 30,748,674,609/117,114
  6. Step 6: Final answer
    x = 262,553.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.