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Finding the Third Proportional to 58,763.81 and 89,523.56

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Solution

The third proportional to 58,763.81 and 89,523.56 is: 136,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,763.81 : 89,523.56 = 89,523.56 : x
  2. Step 2: Convert to fraction form
    58,763.81/89,523.56 = 89,523.56/x
  3. Step 3: Cross multiply
    58,763.81x = 89,523.56 × 89,523.56
  4. Step 4: Simplify right side
    58,763.81x = 8,014,468,242.69
  5. Step 5: Solve for x
    x = 8,014,468,242.69/58,763.81
  6. Step 6: Final answer
    x = 136,384.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.