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Finding the Third Proportional to 56,459.53 and 121,735.41

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Solution

The third proportional to 56,459.53 and 121,735.41 is: 262,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,459.53 : 121,735.41 = 121,735.41 : x
  2. Step 2: Convert to fraction form
    56,459.53/121,735.41 = 121,735.41/x
  3. Step 3: Cross multiply
    56,459.53x = 121,735.41 × 121,735.41
  4. Step 4: Simplify right side
    56,459.53x = 14,819,509,134.85
  5. Step 5: Solve for x
    x = 14,819,509,134.85/56,459.53
  6. Step 6: Final answer
    x = 262,480.20

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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.