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Finding the Third Proportional to 86,923.13 and 130,809.94

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Solution

The third proportional to 86,923.13 and 130,809.94 is: 196,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,923.13 : 130,809.94 = 130,809.94 : x
  2. Step 2: Convert to fraction form
    86,923.13/130,809.94 = 130,809.94/x
  3. Step 3: Cross multiply
    86,923.13x = 130,809.94 × 130,809.94
  4. Step 4: Simplify right side
    86,923.13x = 17,111,239,748.75
  5. Step 5: Solve for x
    x = 17,111,239,748.75/86,923.13
  6. Step 6: Final answer
    x = 196,854.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.