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Finding the Third Proportional to 72,741 and 109,381.50

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Solution

The third proportional to 72,741 and 109,381.50 is: 164,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,741 : 109,381.50 = 109,381.50 : x
  2. Step 2: Convert to fraction form
    72,741/109,381.50 = 109,381.50/x
  3. Step 3: Cross multiply
    72,741x = 109,381.50 × 109,381.50
  4. Step 4: Simplify right side
    72,741x = 11,964,312,542.25
  5. Step 5: Solve for x
    x = 11,964,312,542.25/72,741
  6. Step 6: Final answer
    x = 164,478.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.