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Finding the Third Proportional to 85,904 and 136,664

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Solution

The third proportional to 85,904 and 136,664 is: 217,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,904 : 136,664 = 136,664 : x
  2. Step 2: Convert to fraction form
    85,904/136,664 = 136,664/x
  3. Step 3: Cross multiply
    85,904x = 136,664 × 136,664
  4. Step 4: Simplify right side
    85,904x = 18,677,048,896
  5. Step 5: Solve for x
    x = 18,677,048,896/85,904
  6. Step 6: Final answer
    x = 217,417.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.