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Finding the Third Proportional to 64,692 and 96,639

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Solution

The third proportional to 64,692 and 96,639 is: 144,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,692 : 96,639 = 96,639 : x
  2. Step 2: Convert to fraction form
    64,692/96,639 = 96,639/x
  3. Step 3: Cross multiply
    64,692x = 96,639 × 96,639
  4. Step 4: Simplify right side
    64,692x = 9,339,096,321
  5. Step 5: Solve for x
    x = 9,339,096,321/64,692
  6. Step 6: Final answer
    x = 144,362.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.