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Finding the Third Proportional to 64,832 and 97,314

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Solution

The third proportional to 64,832 and 97,314 is: 146,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,832 : 97,314 = 97,314 : x
  2. Step 2: Convert to fraction form
    64,832/97,314 = 97,314/x
  3. Step 3: Cross multiply
    64,832x = 97,314 × 97,314
  4. Step 4: Simplify right side
    64,832x = 9,470,014,596
  5. Step 5: Solve for x
    x = 9,470,014,596/64,832
  6. Step 6: Final answer
    x = 146,070.07

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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.