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Finding the Third Proportional to 117,938 and 176,475

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Solution

The third proportional to 117,938 and 176,475 is: 264,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,938 : 176,475 = 176,475 : x
  2. Step 2: Convert to fraction form
    117,938/176,475 = 176,475/x
  3. Step 3: Cross multiply
    117,938x = 176,475 × 176,475
  4. Step 4: Simplify right side
    117,938x = 31,143,425,625
  5. Step 5: Solve for x
    x = 31,143,425,625/117,938
  6. Step 6: Final answer
    x = 264,066.08

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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.