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Finding the Third Proportional to 71,522.25 and 105,093.75

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Solution

The third proportional to 71,522.25 and 105,093.75 is: 154,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,522.25 : 105,093.75 = 105,093.75 : x
  2. Step 2: Convert to fraction form
    71,522.25/105,093.75 = 105,093.75/x
  3. Step 3: Cross multiply
    71,522.25x = 105,093.75 × 105,093.75
  4. Step 4: Simplify right side
    71,522.25x = 11,044,696,289.06
  5. Step 5: Solve for x
    x = 11,044,696,289.06/71,522.25
  6. Step 6: Final answer
    x = 154,423.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.