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Finding the Third Proportional to 65,426 and 87,003

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Solution

The third proportional to 65,426 and 87,003 is: 115,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,426 : 87,003 = 87,003 : x
  2. Step 2: Convert to fraction form
    65,426/87,003 = 87,003/x
  3. Step 3: Cross multiply
    65,426x = 87,003 × 87,003
  4. Step 4: Simplify right side
    65,426x = 7,569,522,009
  5. Step 5: Solve for x
    x = 7,569,522,009/65,426
  6. Step 6: Final answer
    x = 115,695.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.