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Finding the Third Proportional to 127,737.56 and 268,707.94

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Solution

The third proportional to 127,737.56 and 268,707.94 is: 565,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,737.56 : 268,707.94 = 268,707.94 : x
  2. Step 2: Convert to fraction form
    127,737.56/268,707.94 = 268,707.94/x
  3. Step 3: Cross multiply
    127,737.56x = 268,707.94 × 268,707.94
  4. Step 4: Simplify right side
    127,737.56x = 72,203,955,675.50
  5. Step 5: Solve for x
    x = 72,203,955,675.50/127,737.56
  6. Step 6: Final answer
    x = 565,252.34

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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.