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Finding the Third Proportional to 56,106.84 and 119,989.69

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Solution

The third proportional to 56,106.84 and 119,989.69 is: 256,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,106.84 : 119,989.69 = 119,989.69 : x
  2. Step 2: Convert to fraction form
    56,106.84/119,989.69 = 119,989.69/x
  3. Step 3: Cross multiply
    56,106.84x = 119,989.69 × 119,989.69
  4. Step 4: Simplify right side
    56,106.84x = 14,397,525,106.35
  5. Step 5: Solve for x
    x = 14,397,525,106.35/56,106.84
  6. Step 6: Final answer
    x = 256,609.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.