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Finding the Third Proportional to 84,050 and 175,890

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Solution

The third proportional to 84,050 and 175,890 is: 368,082

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,050 : 175,890 = 175,890 : x
  2. Step 2: Convert to fraction form
    84,050/175,890 = 175,890/x
  3. Step 3: Cross multiply
    84,050x = 175,890 × 175,890
  4. Step 4: Simplify right side
    84,050x = 30,937,292,100
  5. Step 5: Solve for x
    x = 30,937,292,100/84,050
  6. Step 6: Final answer
    x = 368,082

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.