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Finding the Third Proportional to 71,558 and 105,147.50

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Solution

The third proportional to 71,558 and 105,147.50 is: 154,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,558 : 105,147.50 = 105,147.50 : x
  2. Step 2: Convert to fraction form
    71,558/105,147.50 = 105,147.50/x
  3. Step 3: Cross multiply
    71,558x = 105,147.50 × 105,147.50
  4. Step 4: Simplify right side
    71,558x = 11,055,996,756.25
  5. Step 5: Solve for x
    x = 11,055,996,756.25/71,558
  6. Step 6: Final answer
    x = 154,503.99

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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.