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Finding the Third Proportional to 121,870.13 and 166,037.63

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Solution

The third proportional to 121,870.13 and 166,037.63 is: 226,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,870.13 : 166,037.63 = 166,037.63 : x
  2. Step 2: Convert to fraction form
    121,870.13/166,037.63 = 166,037.63/x
  3. Step 3: Cross multiply
    121,870.13x = 166,037.63 × 166,037.63
  4. Step 4: Simplify right side
    121,870.13x = 27,568,492,915.64
  5. Step 5: Solve for x
    x = 27,568,492,915.64/121,870.13
  6. Step 6: Final answer
    x = 226,212.07

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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.