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Finding the Third Proportional to 60,685.50 and 94,224

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Solution

The third proportional to 60,685.50 and 94,224 is: 146,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,685.50 : 94,224 = 94,224 : x
  2. Step 2: Convert to fraction form
    60,685.50/94,224 = 94,224/x
  3. Step 3: Cross multiply
    60,685.50x = 94,224 × 94,224
  4. Step 4: Simplify right side
    60,685.50x = 8,878,162,176
  5. Step 5: Solve for x
    x = 8,878,162,176/60,685.50
  6. Step 6: Final answer
    x = 146,297.92

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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.