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Finding the Third Proportional to 56,532.09 and 76,776.19

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Solution

The third proportional to 56,532.09 and 76,776.19 is: 104,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,532.09 : 76,776.19 = 76,776.19 : x
  2. Step 2: Convert to fraction form
    56,532.09/76,776.19 = 76,776.19/x
  3. Step 3: Cross multiply
    56,532.09x = 76,776.19 × 76,776.19
  4. Step 4: Simplify right side
    56,532.09x = 5,894,582,967.04
  5. Step 5: Solve for x
    x = 5,894,582,967.04/56,532.09
  6. Step 6: Final answer
    x = 104,269.67

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.