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Finding the Third Proportional to 64,224 and 102,480

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Solution

The third proportional to 64,224 and 102,480 is: 163,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,224 : 102,480 = 102,480 : x
  2. Step 2: Convert to fraction form
    64,224/102,480 = 102,480/x
  3. Step 3: Cross multiply
    64,224x = 102,480 × 102,480
  4. Step 4: Simplify right side
    64,224x = 10,502,150,400
  5. Step 5: Solve for x
    x = 10,502,150,400/64,224
  6. Step 6: Final answer
    x = 163,523.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.