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Finding the Third Proportional to 115,686.75 and 174,987

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Solution

The third proportional to 115,686.75 and 174,987 is: 264,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,686.75 : 174,987 = 174,987 : x
  2. Step 2: Convert to fraction form
    115,686.75/174,987 = 174,987/x
  3. Step 3: Cross multiply
    115,686.75x = 174,987 × 174,987
  4. Step 4: Simplify right side
    115,686.75x = 30,620,450,169
  5. Step 5: Solve for x
    x = 30,620,450,169/115,686.75
  6. Step 6: Final answer
    x = 264,684.16

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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.