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Finding the Third Proportional to 76,088 and 109,599

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Solution

The third proportional to 76,088 and 109,599 is: 157,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,088 : 109,599 = 109,599 : x
  2. Step 2: Convert to fraction form
    76,088/109,599 = 109,599/x
  3. Step 3: Cross multiply
    76,088x = 109,599 × 109,599
  4. Step 4: Simplify right side
    76,088x = 12,011,940,801
  5. Step 5: Solve for x
    x = 12,011,940,801/76,088
  6. Step 6: Final answer
    x = 157,869.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.