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Finding the Third Proportional to 71,522.50 and 105,094

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Solution

The third proportional to 71,522.50 and 105,094 is: 154,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,522.50 : 105,094 = 105,094 : x
  2. Step 2: Convert to fraction form
    71,522.50/105,094 = 105,094/x
  3. Step 3: Cross multiply
    71,522.50x = 105,094 × 105,094
  4. Step 4: Simplify right side
    71,522.50x = 11,044,748,836
  5. Step 5: Solve for x
    x = 11,044,748,836/71,522.50
  6. Step 6: Final answer
    x = 154,423.42

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