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Finding the Third Proportional to 64,088 and 95,601

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Solution

The third proportional to 64,088 and 95,601 is: 142,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,088 : 95,601 = 95,601 : x
  2. Step 2: Convert to fraction form
    64,088/95,601 = 95,601/x
  3. Step 3: Cross multiply
    64,088x = 95,601 × 95,601
  4. Step 4: Simplify right side
    64,088x = 9,139,551,201
  5. Step 5: Solve for x
    x = 9,139,551,201/64,088
  6. Step 6: Final answer
    x = 142,609.40

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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.