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Finding the Third Proportional to 85,302 and 119,319

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Solution

The third proportional to 85,302 and 119,319 is: 166,901.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,302 : 119,319 = 119,319 : x
  2. Step 2: Convert to fraction form
    85,302/119,319 = 119,319/x
  3. Step 3: Cross multiply
    85,302x = 119,319 × 119,319
  4. Step 4: Simplify right side
    85,302x = 14,237,023,761
  5. Step 5: Solve for x
    x = 14,237,023,761/85,302
  6. Step 6: Final answer
    x = 166,901.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.