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Finding the Third Proportional to 31,607 and 73,170.50

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Solution

The third proportional to 31,607 and 73,170.50 is: 169,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607 : 73,170.50 = 73,170.50 : x
  2. Step 2: Convert to fraction form
    31,607/73,170.50 = 73,170.50/x
  3. Step 3: Cross multiply
    31,607x = 73,170.50 × 73,170.50
  4. Step 4: Simplify right side
    31,607x = 5,353,922,070.25
  5. Step 5: Solve for x
    x = 5,353,922,070.25/31,607
  6. Step 6: Final answer
    x = 169,390.39

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.