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Finding the Third Proportional to 111,038.34 and 158,252.91

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Solution

The third proportional to 111,038.34 and 158,252.91 is: 225,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,038.34 : 158,252.91 = 158,252.91 : x
  2. Step 2: Convert to fraction form
    111,038.34/158,252.91 = 158,252.91/x
  3. Step 3: Cross multiply
    111,038.34x = 158,252.91 × 158,252.91
  4. Step 4: Simplify right side
    111,038.34x = 25,043,982,336.57
  5. Step 5: Solve for x
    x = 25,043,982,336.57/111,038.34
  6. Step 6: Final answer
    x = 225,543.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.