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Finding the Third Proportional to 64,972.81 and 97,194.81

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Solution

The third proportional to 64,972.81 and 97,194.81 is: 145,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972.81 : 97,194.81 = 97,194.81 : x
  2. Step 2: Convert to fraction form
    64,972.81/97,194.81 = 97,194.81/x
  3. Step 3: Cross multiply
    64,972.81x = 97,194.81 × 97,194.81
  4. Step 4: Simplify right side
    64,972.81x = 9,446,831,576.91
  5. Step 5: Solve for x
    x = 9,446,831,576.91/64,972.81
  6. Step 6: Final answer
    x = 145,396.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.