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Finding the Third Proportional to 82,695.94 and 131,402.25

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Solution

The third proportional to 82,695.94 and 131,402.25 is: 208,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,695.94 : 131,402.25 = 131,402.25 : x
  2. Step 2: Convert to fraction form
    82,695.94/131,402.25 = 131,402.25/x
  3. Step 3: Cross multiply
    82,695.94x = 131,402.25 × 131,402.25
  4. Step 4: Simplify right side
    82,695.94x = 17,266,551,305.06
  5. Step 5: Solve for x
    x = 17,266,551,305.06/82,695.94
  6. Step 6: Final answer
    x = 208,795.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.