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Finding the Third Proportional to 85,280.34 and 132,416.02

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Solution

The third proportional to 85,280.34 and 132,416.02 is: 205,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,280.34 : 132,416.02 = 132,416.02 : x
  2. Step 2: Convert to fraction form
    85,280.34/132,416.02 = 132,416.02/x
  3. Step 3: Cross multiply
    85,280.34x = 132,416.02 × 132,416.02
  4. Step 4: Simplify right side
    85,280.34x = 17,534,001,194.00
  5. Step 5: Solve for x
    x = 17,534,001,194.00/85,280.34
  6. Step 6: Final answer
    x = 205,604.25

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Why These Related Problems?

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