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Finding the Third Proportional to 86,094 and 115,472.25

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Solution

The third proportional to 86,094 and 115,472.25 is: 154,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,094 : 115,472.25 = 115,472.25 : x
  2. Step 2: Convert to fraction form
    86,094/115,472.25 = 115,472.25/x
  3. Step 3: Cross multiply
    86,094x = 115,472.25 × 115,472.25
  4. Step 4: Simplify right side
    86,094x = 13,333,840,520.06
  5. Step 5: Solve for x
    x = 13,333,840,520.06/86,094
  6. Step 6: Final answer
    x = 154,875.37

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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.