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Finding the Third Proportional to 74,215.50 and 151,023

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Solution

The third proportional to 74,215.50 and 151,023 is: 307,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,215.50 : 151,023 = 151,023 : x
  2. Step 2: Convert to fraction form
    74,215.50/151,023 = 151,023/x
  3. Step 3: Cross multiply
    74,215.50x = 151,023 × 151,023
  4. Step 4: Simplify right side
    74,215.50x = 22,807,946,529
  5. Step 5: Solve for x
    x = 22,807,946,529/74,215.50
  6. Step 6: Final answer
    x = 307,320.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.