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Finding the Third Proportional to 94,944.66 and 142,724.53

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Solution

The third proportional to 94,944.66 and 142,724.53 is: 214,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,944.66 : 142,724.53 = 142,724.53 : x
  2. Step 2: Convert to fraction form
    94,944.66/142,724.53 = 142,724.53/x
  3. Step 3: Cross multiply
    94,944.66x = 142,724.53 × 142,724.53
  4. Step 4: Simplify right side
    94,944.66x = 20,370,291,820.53
  5. Step 5: Solve for x
    x = 20,370,291,820.53/94,944.66
  6. Step 6: Final answer
    x = 214,549.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.