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Finding the Third Proportional to 94,948 and 133,584

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Solution

The third proportional to 94,948 and 133,584 is: 187,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,948 : 133,584 = 133,584 : x
  2. Step 2: Convert to fraction form
    94,948/133,584 = 133,584/x
  3. Step 3: Cross multiply
    94,948x = 133,584 × 133,584
  4. Step 4: Simplify right side
    94,948x = 17,844,685,056
  5. Step 5: Solve for x
    x = 17,844,685,056/94,948
  6. Step 6: Final answer
    x = 187,941.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.