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Finding the Third Proportional to 72,850 and 159,772

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Solution

The third proportional to 72,850 and 159,772 is: 350,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,850 : 159,772 = 159,772 : x
  2. Step 2: Convert to fraction form
    72,850/159,772 = 159,772/x
  3. Step 3: Cross multiply
    72,850x = 159,772 × 159,772
  4. Step 4: Simplify right side
    72,850x = 25,527,091,984
  5. Step 5: Solve for x
    x = 25,527,091,984/72,850
  6. Step 6: Final answer
    x = 350,406.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.