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Finding the Third Proportional to 127,753.50 and 268,737

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Solution

The third proportional to 127,753.50 and 268,737 is: 565,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,753.50 : 268,737 = 268,737 : x
  2. Step 2: Convert to fraction form
    127,753.50/268,737 = 268,737/x
  3. Step 3: Cross multiply
    127,753.50x = 268,737 × 268,737
  4. Step 4: Simplify right side
    127,753.50x = 72,219,575,169
  5. Step 5: Solve for x
    x = 72,219,575,169/127,753.50
  6. Step 6: Final answer
    x = 565,304.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.