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Finding the Third Proportional to 65,784 and 96,219

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Solution

The third proportional to 65,784 and 96,219 is: 140,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,784 : 96,219 = 96,219 : x
  2. Step 2: Convert to fraction form
    65,784/96,219 = 96,219/x
  3. Step 3: Cross multiply
    65,784x = 96,219 × 96,219
  4. Step 4: Simplify right side
    65,784x = 9,258,095,961
  5. Step 5: Solve for x
    x = 9,258,095,961/65,784
  6. Step 6: Final answer
    x = 140,734.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.