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Finding the Third Proportional to 60,529 and 93,941.50

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Solution

The third proportional to 60,529 and 93,941.50 is: 145,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,529 : 93,941.50 = 93,941.50 : x
  2. Step 2: Convert to fraction form
    60,529/93,941.50 = 93,941.50/x
  3. Step 3: Cross multiply
    60,529x = 93,941.50 × 93,941.50
  4. Step 4: Simplify right side
    60,529x = 8,825,005,422.25
  5. Step 5: Solve for x
    x = 8,825,005,422.25/60,529
  6. Step 6: Final answer
    x = 145,797.97

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