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Finding the Third Proportional to 72,156 and 123,804

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Solution

The third proportional to 72,156 and 123,804 is: 212,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,156 : 123,804 = 123,804 : x
  2. Step 2: Convert to fraction form
    72,156/123,804 = 123,804/x
  3. Step 3: Cross multiply
    72,156x = 123,804 × 123,804
  4. Step 4: Simplify right side
    72,156x = 15,327,430,416
  5. Step 5: Solve for x
    x = 15,327,430,416/72,156
  6. Step 6: Final answer
    x = 212,420.73

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.