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Finding the Third Proportional to 75,932 and 113,270

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Solution

The third proportional to 75,932 and 113,270 is: 168,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,932 : 113,270 = 113,270 : x
  2. Step 2: Convert to fraction form
    75,932/113,270 = 113,270/x
  3. Step 3: Cross multiply
    75,932x = 113,270 × 113,270
  4. Step 4: Simplify right side
    75,932x = 12,830,092,900
  5. Step 5: Solve for x
    x = 12,830,092,900/75,932
  6. Step 6: Final answer
    x = 168,968.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.