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Finding the Third Proportional to 103,754.81 and 156,584.81

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Solution

The third proportional to 103,754.81 and 156,584.81 is: 236,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,754.81 : 156,584.81 = 156,584.81 : x
  2. Step 2: Convert to fraction form
    103,754.81/156,584.81 = 156,584.81/x
  3. Step 3: Cross multiply
    103,754.81x = 156,584.81 × 156,584.81
  4. Step 4: Simplify right side
    103,754.81x = 24,518,803,505.66
  5. Step 5: Solve for x
    x = 24,518,803,505.66/103,754.81
  6. Step 6: Final answer
    x = 236,314.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.