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Finding the Third Proportional to 74,059 and 156,945.50

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Solution

The third proportional to 74,059 and 156,945.50 is: 332,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,059 : 156,945.50 = 156,945.50 : x
  2. Step 2: Convert to fraction form
    74,059/156,945.50 = 156,945.50/x
  3. Step 3: Cross multiply
    74,059x = 156,945.50 × 156,945.50
  4. Step 4: Simplify right side
    74,059x = 24,631,889,970.25
  5. Step 5: Solve for x
    x = 24,631,889,970.25/74,059
  6. Step 6: Final answer
    x = 332,598.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.