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Finding the Third Proportional to 43,088 and 64,372

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Solution

The third proportional to 43,088 and 64,372 is: 96,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,088 : 64,372 = 64,372 : x
  2. Step 2: Convert to fraction form
    43,088/64,372 = 64,372/x
  3. Step 3: Cross multiply
    43,088x = 64,372 × 64,372
  4. Step 4: Simplify right side
    43,088x = 4,143,754,384
  5. Step 5: Solve for x
    x = 4,143,754,384/43,088
  6. Step 6: Final answer
    x = 96,169.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.