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Finding the Third Proportional to 64,733 and 101,716.50

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Solution

The third proportional to 64,733 and 101,716.50 is: 159,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,733 : 101,716.50 = 101,716.50 : x
  2. Step 2: Convert to fraction form
    64,733/101,716.50 = 101,716.50/x
  3. Step 3: Cross multiply
    64,733x = 101,716.50 × 101,716.50
  4. Step 4: Simplify right side
    64,733x = 10,346,246,372.25
  5. Step 5: Solve for x
    x = 10,346,246,372.25/64,733
  6. Step 6: Final answer
    x = 159,829.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.