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Finding the Third Proportional to 76,100 and 118,294

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Solution

The third proportional to 76,100 and 118,294 is: 183,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,100 : 118,294 = 118,294 : x
  2. Step 2: Convert to fraction form
    76,100/118,294 = 118,294/x
  3. Step 3: Cross multiply
    76,100x = 118,294 × 118,294
  4. Step 4: Simplify right side
    76,100x = 13,993,470,436
  5. Step 5: Solve for x
    x = 13,993,470,436/76,100
  6. Step 6: Final answer
    x = 183,882.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.