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Finding the Third Proportional to 90,783 and 130,959

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Solution

The third proportional to 90,783 and 130,959 is: 188,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,783 : 130,959 = 130,959 : x
  2. Step 2: Convert to fraction form
    90,783/130,959 = 130,959/x
  3. Step 3: Cross multiply
    90,783x = 130,959 × 130,959
  4. Step 4: Simplify right side
    90,783x = 17,150,259,681
  5. Step 5: Solve for x
    x = 17,150,259,681/90,783
  6. Step 6: Final answer
    x = 188,914.88

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.