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Finding the Third Proportional to 86,953.50 and 116,471.25

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Solution

The third proportional to 86,953.50 and 116,471.25 is: 156,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,953.50 : 116,471.25 = 116,471.25 : x
  2. Step 2: Convert to fraction form
    86,953.50/116,471.25 = 116,471.25/x
  3. Step 3: Cross multiply
    86,953.50x = 116,471.25 × 116,471.25
  4. Step 4: Simplify right side
    86,953.50x = 13,565,552,076.56
  5. Step 5: Solve for x
    x = 13,565,552,076.56/86,953.50
  6. Step 6: Final answer
    x = 156,009.27

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.