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Finding the Third Proportional to 85,881 and 136,285.50

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Solution

The third proportional to 85,881 and 136,285.50 is: 216,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,881 : 136,285.50 = 136,285.50 : x
  2. Step 2: Convert to fraction form
    85,881/136,285.50 = 136,285.50/x
  3. Step 3: Cross multiply
    85,881x = 136,285.50 × 136,285.50
  4. Step 4: Simplify right side
    85,881x = 18,573,737,510.25
  5. Step 5: Solve for x
    x = 18,573,737,510.25/85,881
  6. Step 6: Final answer
    x = 216,272.95

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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.