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Finding the Third Proportional to 39,097 and 83,731

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Solution

The third proportional to 39,097 and 83,731 is: 179,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,097 : 83,731 = 83,731 : x
  2. Step 2: Convert to fraction form
    39,097/83,731 = 83,731/x
  3. Step 3: Cross multiply
    39,097x = 83,731 × 83,731
  4. Step 4: Simplify right side
    39,097x = 7,010,880,361
  5. Step 5: Solve for x
    x = 7,010,880,361/39,097
  6. Step 6: Final answer
    x = 179,320.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.