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Finding the Third Proportional to 72,152 and 159,877

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Solution

The third proportional to 72,152 and 159,877 is: 354,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,152 : 159,877 = 159,877 : x
  2. Step 2: Convert to fraction form
    72,152/159,877 = 159,877/x
  3. Step 3: Cross multiply
    72,152x = 159,877 × 159,877
  4. Step 4: Simplify right side
    72,152x = 25,560,655,129
  5. Step 5: Solve for x
    x = 25,560,655,129/72,152
  6. Step 6: Final answer
    x = 354,261.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.