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Finding the Third Proportional to 86,239.69 and 130,129.03

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Solution

The third proportional to 86,239.69 and 130,129.03 is: 196,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,239.69 : 130,129.03 = 130,129.03 : x
  2. Step 2: Convert to fraction form
    86,239.69/130,129.03 = 130,129.03/x
  3. Step 3: Cross multiply
    86,239.69x = 130,129.03 × 130,129.03
  4. Step 4: Simplify right side
    86,239.69x = 16,933,564,774.06
  5. Step 5: Solve for x
    x = 16,933,564,774.06/86,239.69
  6. Step 6: Final answer
    x = 196,354.66

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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.