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Finding the Third Proportional to 64,966 and 97,448

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Solution

The third proportional to 64,966 and 97,448 is: 146,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,966 : 97,448 = 97,448 : x
  2. Step 2: Convert to fraction form
    64,966/97,448 = 97,448/x
  3. Step 3: Cross multiply
    64,966x = 97,448 × 97,448
  4. Step 4: Simplify right side
    64,966x = 9,496,112,704
  5. Step 5: Solve for x
    x = 9,496,112,704/64,966
  6. Step 6: Final answer
    x = 146,170.50

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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.