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Finding the Third Proportional to 93,215 and 141,837

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Solution

The third proportional to 93,215 and 141,837 is: 215,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,215 : 141,837 = 141,837 : x
  2. Step 2: Convert to fraction form
    93,215/141,837 = 141,837/x
  3. Step 3: Cross multiply
    93,215x = 141,837 × 141,837
  4. Step 4: Simplify right side
    93,215x = 20,117,734,569
  5. Step 5: Solve for x
    x = 20,117,734,569/93,215
  6. Step 6: Final answer
    x = 215,820.79

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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.