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Finding the Third Proportional to 94,124 and 183,518

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Solution

The third proportional to 94,124 and 183,518 is: 357,813.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,124 : 183,518 = 183,518 : x
  2. Step 2: Convert to fraction form
    94,124/183,518 = 183,518/x
  3. Step 3: Cross multiply
    94,124x = 183,518 × 183,518
  4. Step 4: Simplify right side
    94,124x = 33,678,856,324
  5. Step 5: Solve for x
    x = 33,678,856,324/94,124
  6. Step 6: Final answer
    x = 357,813.70

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.