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Finding the Third Proportional to 115,695.19 and 174,775.59

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Solution

The third proportional to 115,695.19 and 174,775.59 is: 264,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,695.19 : 174,775.59 = 174,775.59 : x
  2. Step 2: Convert to fraction form
    115,695.19/174,775.59 = 174,775.59/x
  3. Step 3: Cross multiply
    115,695.19x = 174,775.59 × 174,775.59
  4. Step 4: Simplify right side
    115,695.19x = 30,546,508,170.67
  5. Step 5: Solve for x
    x = 30,546,508,170.67/115,695.19
  6. Step 6: Final answer
    x = 264,025.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.