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Finding the Third Proportional to 40,088 and 87,007

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Solution

The third proportional to 40,088 and 87,007 is: 188,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,088 : 87,007 = 87,007 : x
  2. Step 2: Convert to fraction form
    40,088/87,007 = 87,007/x
  3. Step 3: Cross multiply
    40,088x = 87,007 × 87,007
  4. Step 4: Simplify right side
    40,088x = 7,570,218,049
  5. Step 5: Solve for x
    x = 7,570,218,049/40,088
  6. Step 6: Final answer
    x = 188,840.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.