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Finding the Third Proportional to 73,854.50 and 161,076.50

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Solution

The third proportional to 73,854.50 and 161,076.50 is: 351,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,854.50 : 161,076.50 = 161,076.50 : x
  2. Step 2: Convert to fraction form
    73,854.50/161,076.50 = 161,076.50/x
  3. Step 3: Cross multiply
    73,854.50x = 161,076.50 × 161,076.50
  4. Step 4: Simplify right side
    73,854.50x = 25,945,638,852.25
  5. Step 5: Solve for x
    x = 25,945,638,852.25/73,854.50
  6. Step 6: Final answer
    x = 351,307.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.