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Finding the Third Proportional to 57,153.94 and 84,905.06

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Solution

The third proportional to 57,153.94 and 84,905.06 is: 126,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,153.94 : 84,905.06 = 84,905.06 : x
  2. Step 2: Convert to fraction form
    57,153.94/84,905.06 = 84,905.06/x
  3. Step 3: Cross multiply
    57,153.94x = 84,905.06 × 84,905.06
  4. Step 4: Simplify right side
    57,153.94x = 7,208,869,638.13
  5. Step 5: Solve for x
    x = 7,208,869,638.13/57,153.94
  6. Step 6: Final answer
    x = 126,130.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.