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Finding the Third Proportional to 31,145.06 and 73,117.13

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Solution

The third proportional to 31,145.06 and 73,117.13 is: 171,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.06 : 73,117.13 = 73,117.13 : x
  2. Step 2: Convert to fraction form
    31,145.06/73,117.13 = 73,117.13/x
  3. Step 3: Cross multiply
    31,145.06x = 73,117.13 × 73,117.13
  4. Step 4: Simplify right side
    31,145.06x = 5,346,113,968.27
  5. Step 5: Solve for x
    x = 5,346,113,968.27/31,145.06
  6. Step 6: Final answer
    x = 171,652.05

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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.