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Finding the Third Proportional to 87,316 and 131,656.50

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Solution

The third proportional to 87,316 and 131,656.50 is: 198,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,316 : 131,656.50 = 131,656.50 : x
  2. Step 2: Convert to fraction form
    87,316/131,656.50 = 131,656.50/x
  3. Step 3: Cross multiply
    87,316x = 131,656.50 × 131,656.50
  4. Step 4: Simplify right side
    87,316x = 17,333,433,992.25
  5. Step 5: Solve for x
    x = 17,333,433,992.25/87,316
  6. Step 6: Final answer
    x = 198,513.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.