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Finding the Third Proportional to 89,826 and 130,788

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Solution

The third proportional to 89,826 and 130,788 is: 190,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,826 : 130,788 = 130,788 : x
  2. Step 2: Convert to fraction form
    89,826/130,788 = 130,788/x
  3. Step 3: Cross multiply
    89,826x = 130,788 × 130,788
  4. Step 4: Simplify right side
    89,826x = 17,105,500,944
  5. Step 5: Solve for x
    x = 17,105,500,944/89,826
  6. Step 6: Final answer
    x = 190,429.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.