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Finding the Third Proportional to 61,054.50 and 130,173.56

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Solution

The third proportional to 61,054.50 and 130,173.56 is: 277,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,054.50 : 130,173.56 = 130,173.56 : x
  2. Step 2: Convert to fraction form
    61,054.50/130,173.56 = 130,173.56/x
  3. Step 3: Cross multiply
    61,054.50x = 130,173.56 × 130,173.56
  4. Step 4: Simplify right side
    61,054.50x = 16,945,156,373.94
  5. Step 5: Solve for x
    x = 16,945,156,373.94/61,054.50
  6. Step 6: Final answer
    x = 277,541.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.