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Finding the Third Proportional to 113,407.13 and 166,825.69

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Solution

The third proportional to 113,407.13 and 166,825.69 is: 245,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,407.13 : 166,825.69 = 166,825.69 : x
  2. Step 2: Convert to fraction form
    113,407.13/166,825.69 = 166,825.69/x
  3. Step 3: Cross multiply
    113,407.13x = 166,825.69 × 166,825.69
  4. Step 4: Simplify right side
    113,407.13x = 27,830,810,009.85
  5. Step 5: Solve for x
    x = 27,830,810,009.85/113,407.13
  6. Step 6: Final answer
    x = 245,406.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.