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Finding the Third Proportional to 62,224 and 93,846

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Solution

The third proportional to 62,224 and 93,846 is: 141,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,224 : 93,846 = 93,846 : x
  2. Step 2: Convert to fraction form
    62,224/93,846 = 93,846/x
  3. Step 3: Cross multiply
    62,224x = 93,846 × 93,846
  4. Step 4: Simplify right side
    62,224x = 8,807,071,716
  5. Step 5: Solve for x
    x = 8,807,071,716/62,224
  6. Step 6: Final answer
    x = 141,538.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.