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Finding the Third Proportional to 64,767 and 98,494.50

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Solution

The third proportional to 64,767 and 98,494.50 is: 149,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,767 : 98,494.50 = 98,494.50 : x
  2. Step 2: Convert to fraction form
    64,767/98,494.50 = 98,494.50/x
  3. Step 3: Cross multiply
    64,767x = 98,494.50 × 98,494.50
  4. Step 4: Simplify right side
    64,767x = 9,701,166,530.25
  5. Step 5: Solve for x
    x = 9,701,166,530.25/64,767
  6. Step 6: Final answer
    x = 149,785.64

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