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Finding the Third Proportional to 72,851.50 and 156,071

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Solution

The third proportional to 72,851.50 and 156,071 is: 334,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,851.50 : 156,071 = 156,071 : x
  2. Step 2: Convert to fraction form
    72,851.50/156,071 = 156,071/x
  3. Step 3: Cross multiply
    72,851.50x = 156,071 × 156,071
  4. Step 4: Simplify right side
    72,851.50x = 24,358,157,041
  5. Step 5: Solve for x
    x = 24,358,157,041/72,851.50
  6. Step 6: Final answer
    x = 334,353.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.