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Finding the Third Proportional to 64,602 and 144,324

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Solution

The third proportional to 64,602 and 144,324 is: 322,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,602 : 144,324 = 144,324 : x
  2. Step 2: Convert to fraction form
    64,602/144,324 = 144,324/x
  3. Step 3: Cross multiply
    64,602x = 144,324 × 144,324
  4. Step 4: Simplify right side
    64,602x = 20,829,416,976
  5. Step 5: Solve for x
    x = 20,829,416,976/64,602
  6. Step 6: Final answer
    x = 322,426.81

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.