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Finding the Third Proportional to 72,700 and 156,890

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Solution

The third proportional to 72,700 and 156,890 is: 338,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,700 : 156,890 = 156,890 : x
  2. Step 2: Convert to fraction form
    72,700/156,890 = 156,890/x
  3. Step 3: Cross multiply
    72,700x = 156,890 × 156,890
  4. Step 4: Simplify right side
    72,700x = 24,614,472,100
  5. Step 5: Solve for x
    x = 24,614,472,100/72,700
  6. Step 6: Final answer
    x = 338,575.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.