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Finding the Third Proportional to 86,859 and 130,936.50

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Solution

The third proportional to 86,859 and 130,936.50 is: 197,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,859 : 130,936.50 = 130,936.50 : x
  2. Step 2: Convert to fraction form
    86,859/130,936.50 = 130,936.50/x
  3. Step 3: Cross multiply
    86,859x = 130,936.50 × 130,936.50
  4. Step 4: Simplify right side
    86,859x = 17,144,367,032.25
  5. Step 5: Solve for x
    x = 17,144,367,032.25/86,859
  6. Step 6: Final answer
    x = 197,381.58

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