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Finding the Third Proportional to 58,065.19 and 81,767.81

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Solution

The third proportional to 58,065.19 and 81,767.81 is: 115,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,065.19 : 81,767.81 = 81,767.81 : x
  2. Step 2: Convert to fraction form
    58,065.19/81,767.81 = 81,767.81/x
  3. Step 3: Cross multiply
    58,065.19x = 81,767.81 × 81,767.81
  4. Step 4: Simplify right side
    58,065.19x = 6,685,975,161.04
  5. Step 5: Solve for x
    x = 6,685,975,161.04/58,065.19
  6. Step 6: Final answer
    x = 115,146.02

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.