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Finding the Third Proportional to 101,333 and 157,740

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Solution

The third proportional to 101,333 and 157,740 is: 245,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,333 : 157,740 = 157,740 : x
  2. Step 2: Convert to fraction form
    101,333/157,740 = 157,740/x
  3. Step 3: Cross multiply
    101,333x = 157,740 × 157,740
  4. Step 4: Simplify right side
    101,333x = 24,881,907,600
  5. Step 5: Solve for x
    x = 24,881,907,600/101,333
  6. Step 6: Final answer
    x = 245,545.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.