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Finding the Third Proportional to 94,834 and 207,164

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Solution

The third proportional to 94,834 and 207,164 is: 452,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,834 : 207,164 = 207,164 : x
  2. Step 2: Convert to fraction form
    94,834/207,164 = 207,164/x
  3. Step 3: Cross multiply
    94,834x = 207,164 × 207,164
  4. Step 4: Simplify right side
    94,834x = 42,916,922,896
  5. Step 5: Solve for x
    x = 42,916,922,896/94,834
  6. Step 6: Final answer
    x = 452,547.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.