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Finding the Third Proportional to 101,686.50 and 154,603

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Solution

The third proportional to 101,686.50 and 154,603 is: 235,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,686.50 : 154,603 = 154,603 : x
  2. Step 2: Convert to fraction form
    101,686.50/154,603 = 154,603/x
  3. Step 3: Cross multiply
    101,686.50x = 154,603 × 154,603
  4. Step 4: Simplify right side
    101,686.50x = 23,902,087,609
  5. Step 5: Solve for x
    x = 23,902,087,609/101,686.50
  6. Step 6: Final answer
    x = 235,056.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.