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Finding the Third Proportional to 72,805 and 103,132

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Solution

The third proportional to 72,805 and 103,132 is: 146,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805 : 103,132 = 103,132 : x
  2. Step 2: Convert to fraction form
    72,805/103,132 = 103,132/x
  3. Step 3: Cross multiply
    72,805x = 103,132 × 103,132
  4. Step 4: Simplify right side
    72,805x = 10,636,209,424
  5. Step 5: Solve for x
    x = 10,636,209,424/72,805
  6. Step 6: Final answer
    x = 146,091.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.