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Finding the Third Proportional to 89,074 and 130,690

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Solution

The third proportional to 89,074 and 130,690 is: 191,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,074 : 130,690 = 130,690 : x
  2. Step 2: Convert to fraction form
    89,074/130,690 = 130,690/x
  3. Step 3: Cross multiply
    89,074x = 130,690 × 130,690
  4. Step 4: Simplify right side
    89,074x = 17,079,876,100
  5. Step 5: Solve for x
    x = 17,079,876,100/89,074
  6. Step 6: Final answer
    x = 191,749.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.