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Finding the Third Proportional to 94,835 and 133,423

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Solution

The third proportional to 94,835 and 133,423 is: 187,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,835 : 133,423 = 133,423 : x
  2. Step 2: Convert to fraction form
    94,835/133,423 = 133,423/x
  3. Step 3: Cross multiply
    94,835x = 133,423 × 133,423
  4. Step 4: Simplify right side
    94,835x = 17,801,696,929
  5. Step 5: Solve for x
    x = 17,801,696,929/94,835
  6. Step 6: Final answer
    x = 187,712.31

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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.