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Finding the Third Proportional to 101,434.50 and 157,677

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Solution

The third proportional to 101,434.50 and 157,677 is: 245,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,434.50 : 157,677 = 157,677 : x
  2. Step 2: Convert to fraction form
    101,434.50/157,677 = 157,677/x
  3. Step 3: Cross multiply
    101,434.50x = 157,677 × 157,677
  4. Step 4: Simplify right side
    101,434.50x = 24,862,036,329
  5. Step 5: Solve for x
    x = 24,862,036,329/101,434.50
  6. Step 6: Final answer
    x = 245,104.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.