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Finding the Third Proportional to 64,723.50 and 144,513

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Solution

The third proportional to 64,723.50 and 144,513 is: 322,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,723.50 : 144,513 = 144,513 : x
  2. Step 2: Convert to fraction form
    64,723.50/144,513 = 144,513/x
  3. Step 3: Cross multiply
    64,723.50x = 144,513 × 144,513
  4. Step 4: Simplify right side
    64,723.50x = 20,884,007,169
  5. Step 5: Solve for x
    x = 20,884,007,169/64,723.50
  6. Step 6: Final answer
    x = 322,664.99

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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.