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Finding the Third Proportional to 88,921.50 and 158,106

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Solution

The third proportional to 88,921.50 and 158,106 is: 281,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,921.50 : 158,106 = 158,106 : x
  2. Step 2: Convert to fraction form
    88,921.50/158,106 = 158,106/x
  3. Step 3: Cross multiply
    88,921.50x = 158,106 × 158,106
  4. Step 4: Simplify right side
    88,921.50x = 24,997,507,236
  5. Step 5: Solve for x
    x = 24,997,507,236/88,921.50
  6. Step 6: Final answer
    x = 281,118.82

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.