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Finding the Third Proportional to 96,871.50 and 151,047

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Solution

The third proportional to 96,871.50 and 151,047 is: 235,520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,871.50 : 151,047 = 151,047 : x
  2. Step 2: Convert to fraction form
    96,871.50/151,047 = 151,047/x
  3. Step 3: Cross multiply
    96,871.50x = 151,047 × 151,047
  4. Step 4: Simplify right side
    96,871.50x = 22,815,196,209
  5. Step 5: Solve for x
    x = 22,815,196,209/96,871.50
  6. Step 6: Final answer
    x = 235,520.21

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.