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Finding the Third Proportional to 122,737.50 and 268,897.50

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Solution

The third proportional to 122,737.50 and 268,897.50 is: 589,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,737.50 : 268,897.50 = 268,897.50 : x
  2. Step 2: Convert to fraction form
    122,737.50/268,897.50 = 268,897.50/x
  3. Step 3: Cross multiply
    122,737.50x = 268,897.50 × 268,897.50
  4. Step 4: Simplify right side
    122,737.50x = 72,305,865,506.25
  5. Step 5: Solve for x
    x = 72,305,865,506.25/122,737.50
  6. Step 6: Final answer
    x = 589,109.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.