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Finding the Third Proportional to 65,720 and 100,206

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Solution

The third proportional to 65,720 and 100,206 is: 152,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,720 : 100,206 = 100,206 : x
  2. Step 2: Convert to fraction form
    65,720/100,206 = 100,206/x
  3. Step 3: Cross multiply
    65,720x = 100,206 × 100,206
  4. Step 4: Simplify right side
    65,720x = 10,041,242,436
  5. Step 5: Solve for x
    x = 10,041,242,436/65,720
  6. Step 6: Final answer
    x = 152,788.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.