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Finding the Third Proportional to 93,002 and 119,414

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Solution

The third proportional to 93,002 and 119,414 is: 153,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,002 : 119,414 = 119,414 : x
  2. Step 2: Convert to fraction form
    93,002/119,414 = 119,414/x
  3. Step 3: Cross multiply
    93,002x = 119,414 × 119,414
  4. Step 4: Simplify right side
    93,002x = 14,259,703,396
  5. Step 5: Solve for x
    x = 14,259,703,396/93,002
  6. Step 6: Final answer
    x = 153,326.85

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.