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Finding the Third Proportional to 91,926 and 130,080

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Solution

The third proportional to 91,926 and 130,080 is: 184,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,926 : 130,080 = 130,080 : x
  2. Step 2: Convert to fraction form
    91,926/130,080 = 130,080/x
  3. Step 3: Cross multiply
    91,926x = 130,080 × 130,080
  4. Step 4: Simplify right side
    91,926x = 16,920,806,400
  5. Step 5: Solve for x
    x = 16,920,806,400/91,926
  6. Step 6: Final answer
    x = 184,069.86

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.