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Finding the Third Proportional to 89,186 and 130,579

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Solution

The third proportional to 89,186 and 130,579 is: 191,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,186 : 130,579 = 130,579 : x
  2. Step 2: Convert to fraction form
    89,186/130,579 = 130,579/x
  3. Step 3: Cross multiply
    89,186x = 130,579 × 130,579
  4. Step 4: Simplify right side
    89,186x = 17,050,875,241
  5. Step 5: Solve for x
    x = 17,050,875,241/89,186
  6. Step 6: Final answer
    x = 191,183.32

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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.