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Finding the Third Proportional to 65,346.75 and 101,811.94

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Solution

The third proportional to 65,346.75 and 101,811.94 is: 158,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,346.75 : 101,811.94 = 101,811.94 : x
  2. Step 2: Convert to fraction form
    65,346.75/101,811.94 = 101,811.94/x
  3. Step 3: Cross multiply
    65,346.75x = 101,811.94 × 101,811.94
  4. Step 4: Simplify right side
    65,346.75x = 10,365,670,617.50
  5. Step 5: Solve for x
    x = 10,365,670,617.50/65,346.75
  6. Step 6: Final answer
    x = 158,625.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.