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Finding the Third Proportional to 89,814 and 134,720.50

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Solution

The third proportional to 89,814 and 134,720.50 is: 202,080.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,814 : 134,720.50 = 134,720.50 : x
  2. Step 2: Convert to fraction form
    89,814/134,720.50 = 134,720.50/x
  3. Step 3: Cross multiply
    89,814x = 134,720.50 × 134,720.50
  4. Step 4: Simplify right side
    89,814x = 18,149,613,120.25
  5. Step 5: Solve for x
    x = 18,149,613,120.25/89,814
  6. Step 6: Final answer
    x = 202,080.00

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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.