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Finding the Third Proportional to 31,153.50 and 73,140

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Solution

The third proportional to 31,153.50 and 73,140 is: 171,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,153.50 : 73,140 = 73,140 : x
  2. Step 2: Convert to fraction form
    31,153.50/73,140 = 73,140/x
  3. Step 3: Cross multiply
    31,153.50x = 73,140 × 73,140
  4. Step 4: Simplify right side
    31,153.50x = 5,349,459,600
  5. Step 5: Solve for x
    x = 5,349,459,600/31,153.50
  6. Step 6: Final answer
    x = 171,712.96

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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.