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Finding the Third Proportional to 64,774 and 97,631

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Solution

The third proportional to 64,774 and 97,631 is: 147,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,774 : 97,631 = 97,631 : x
  2. Step 2: Convert to fraction form
    64,774/97,631 = 97,631/x
  3. Step 3: Cross multiply
    64,774x = 97,631 × 97,631
  4. Step 4: Simplify right side
    64,774x = 9,531,812,161
  5. Step 5: Solve for x
    x = 9,531,812,161/64,774
  6. Step 6: Final answer
    x = 147,154.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.