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Finding the Third Proportional to 56,098.13 and 121,114.13

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Solution

The third proportional to 56,098.13 and 121,114.13 is: 261,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,098.13 : 121,114.13 = 121,114.13 : x
  2. Step 2: Convert to fraction form
    56,098.13/121,114.13 = 121,114.13/x
  3. Step 3: Cross multiply
    56,098.13x = 121,114.13 × 121,114.13
  4. Step 4: Simplify right side
    56,098.13x = 14,668,631,274.52
  5. Step 5: Solve for x
    x = 14,668,631,274.52/56,098.13
  6. Step 6: Final answer
    x = 261,481.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.