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Finding the Third Proportional to 86,984 and 130,140

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Solution

The third proportional to 86,984 and 130,140 is: 194,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,984 : 130,140 = 130,140 : x
  2. Step 2: Convert to fraction form
    86,984/130,140 = 130,140/x
  3. Step 3: Cross multiply
    86,984x = 130,140 × 130,140
  4. Step 4: Simplify right side
    86,984x = 16,936,419,600
  5. Step 5: Solve for x
    x = 16,936,419,600/86,984
  6. Step 6: Final answer
    x = 194,707.30

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