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Finding the Third Proportional to 86,114 and 130,994

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Solution

The third proportional to 86,114 and 130,994 is: 199,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,114 : 130,994 = 130,994 : x
  2. Step 2: Convert to fraction form
    86,114/130,994 = 130,994/x
  3. Step 3: Cross multiply
    86,114x = 130,994 × 130,994
  4. Step 4: Simplify right side
    86,114x = 17,159,428,036
  5. Step 5: Solve for x
    x = 17,159,428,036/86,114
  6. Step 6: Final answer
    x = 199,264.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.