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Finding the Third Proportional to 86,584 and 129,880

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Solution

The third proportional to 86,584 and 129,880 is: 194,826.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,584 : 129,880 = 129,880 : x
  2. Step 2: Convert to fraction form
    86,584/129,880 = 129,880/x
  3. Step 3: Cross multiply
    86,584x = 129,880 × 129,880
  4. Step 4: Simplify right side
    86,584x = 16,868,814,400
  5. Step 5: Solve for x
    x = 16,868,814,400/86,584
  6. Step 6: Final answer
    x = 194,826.00

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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.