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Finding the Third Proportional to 65,708 and 100,190

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Solution

The third proportional to 65,708 and 100,190 is: 152,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,708 : 100,190 = 100,190 : x
  2. Step 2: Convert to fraction form
    65,708/100,190 = 100,190/x
  3. Step 3: Cross multiply
    65,708x = 100,190 × 100,190
  4. Step 4: Simplify right side
    65,708x = 10,038,036,100
  5. Step 5: Solve for x
    x = 10,038,036,100/65,708
  6. Step 6: Final answer
    x = 152,767.34

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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.