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Finding the Third Proportional to 100,222.50 and 154,113

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Solution

The third proportional to 100,222.50 and 154,113 is: 236,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,222.50 : 154,113 = 154,113 : x
  2. Step 2: Convert to fraction form
    100,222.50/154,113 = 154,113/x
  3. Step 3: Cross multiply
    100,222.50x = 154,113 × 154,113
  4. Step 4: Simplify right side
    100,222.50x = 23,750,816,769
  5. Step 5: Solve for x
    x = 23,750,816,769/100,222.50
  6. Step 6: Final answer
    x = 236,980.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.