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Finding the Third Proportional to 72,071 and 114,519

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Solution

The third proportional to 72,071 and 114,519 is: 181,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,071 : 114,519 = 114,519 : x
  2. Step 2: Convert to fraction form
    72,071/114,519 = 114,519/x
  3. Step 3: Cross multiply
    72,071x = 114,519 × 114,519
  4. Step 4: Simplify right side
    72,071x = 13,114,601,361
  5. Step 5: Solve for x
    x = 13,114,601,361/72,071
  6. Step 6: Final answer
    x = 181,967.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.