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Finding the Third Proportional to 64,948 and 97,422

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Solution

The third proportional to 64,948 and 97,422 is: 146,133

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,948 : 97,422 = 97,422 : x
  2. Step 2: Convert to fraction form
    64,948/97,422 = 97,422/x
  3. Step 3: Cross multiply
    64,948x = 97,422 × 97,422
  4. Step 4: Simplify right side
    64,948x = 9,491,046,084
  5. Step 5: Solve for x
    x = 9,491,046,084/64,948
  6. Step 6: Final answer
    x = 146,133

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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.