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Finding the Third Proportional to 86,572.50 and 131,009

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Solution

The third proportional to 86,572.50 and 131,009 is: 198,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,572.50 : 131,009 = 131,009 : x
  2. Step 2: Convert to fraction form
    86,572.50/131,009 = 131,009/x
  3. Step 3: Cross multiply
    86,572.50x = 131,009 × 131,009
  4. Step 4: Simplify right side
    86,572.50x = 17,163,358,081
  5. Step 5: Solve for x
    x = 17,163,358,081/86,572.50
  6. Step 6: Final answer
    x = 198,254.16

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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.