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Finding the Third Proportional to 64,848 and 96,860

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Solution

The third proportional to 64,848 and 96,860 is: 144,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,848 : 96,860 = 96,860 : x
  2. Step 2: Convert to fraction form
    64,848/96,860 = 96,860/x
  3. Step 3: Cross multiply
    64,848x = 96,860 × 96,860
  4. Step 4: Simplify right side
    64,848x = 9,381,859,600
  5. Step 5: Solve for x
    x = 9,381,859,600/64,848
  6. Step 6: Final answer
    x = 144,674.62

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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.