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Finding the Third Proportional to 106,852.50 and 158,631.75

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Solution

The third proportional to 106,852.50 and 158,631.75 is: 235,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,852.50 : 158,631.75 = 158,631.75 : x
  2. Step 2: Convert to fraction form
    106,852.50/158,631.75 = 158,631.75/x
  3. Step 3: Cross multiply
    106,852.50x = 158,631.75 × 158,631.75
  4. Step 4: Simplify right side
    106,852.50x = 25,164,032,108.06
  5. Step 5: Solve for x
    x = 25,164,032,108.06/106,852.50
  6. Step 6: Final answer
    x = 235,502.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.