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Finding the Third Proportional to 40,020 and 87,088

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Solution

The third proportional to 40,020 and 87,088 is: 189,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,020 : 87,088 = 87,088 : x
  2. Step 2: Convert to fraction form
    40,020/87,088 = 87,088/x
  3. Step 3: Cross multiply
    40,020x = 87,088 × 87,088
  4. Step 4: Simplify right side
    40,020x = 7,584,319,744
  5. Step 5: Solve for x
    x = 7,584,319,744/40,020
  6. Step 6: Final answer
    x = 189,513.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.