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Finding the Third Proportional to 31,095.75 and 73,090.50

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Solution

The third proportional to 31,095.75 and 73,090.50 is: 171,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095.75 : 73,090.50 = 73,090.50 : x
  2. Step 2: Convert to fraction form
    31,095.75/73,090.50 = 73,090.50/x
  3. Step 3: Cross multiply
    31,095.75x = 73,090.50 × 73,090.50
  4. Step 4: Simplify right side
    31,095.75x = 5,342,221,190.25
  5. Step 5: Solve for x
    x = 5,342,221,190.25/31,095.75
  6. Step 6: Final answer
    x = 171,799.08

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.