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Finding the Third Proportional to 72,808 and 159,639

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Solution

The third proportional to 72,808 and 159,639 is: 350,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,808 : 159,639 = 159,639 : x
  2. Step 2: Convert to fraction form
    72,808/159,639 = 159,639/x
  3. Step 3: Cross multiply
    72,808x = 159,639 × 159,639
  4. Step 4: Simplify right side
    72,808x = 25,484,610,321
  5. Step 5: Solve for x
    x = 25,484,610,321/72,808
  6. Step 6: Final answer
    x = 350,024.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.