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Finding the Third Proportional to 64,035 and 93,976

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Solution

The third proportional to 64,035 and 93,976 is: 137,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,035 : 93,976 = 93,976 : x
  2. Step 2: Convert to fraction form
    64,035/93,976 = 93,976/x
  3. Step 3: Cross multiply
    64,035x = 93,976 × 93,976
  4. Step 4: Simplify right side
    64,035x = 8,831,488,576
  5. Step 5: Solve for x
    x = 8,831,488,576/64,035
  6. Step 6: Final answer
    x = 137,916.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.