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Finding the Third Proportional to 86,986 and 130,143

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Solution

The third proportional to 86,986 and 130,143 is: 194,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,986 : 130,143 = 130,143 : x
  2. Step 2: Convert to fraction form
    86,986/130,143 = 130,143/x
  3. Step 3: Cross multiply
    86,986x = 130,143 × 130,143
  4. Step 4: Simplify right side
    86,986x = 16,937,200,449
  5. Step 5: Solve for x
    x = 16,937,200,449/86,986
  6. Step 6: Final answer
    x = 194,711.80

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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.