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Finding the Third Proportional to 64,496 and 97,122

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Solution

The third proportional to 64,496 and 97,122 is: 146,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,496 : 97,122 = 97,122 : x
  2. Step 2: Convert to fraction form
    64,496/97,122 = 97,122/x
  3. Step 3: Cross multiply
    64,496x = 97,122 × 97,122
  4. Step 4: Simplify right side
    64,496x = 9,432,682,884
  5. Step 5: Solve for x
    x = 9,432,682,884/64,496
  6. Step 6: Final answer
    x = 146,252.22

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Why These Related Problems?

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