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Finding the Third Proportional to 74,983.50 and 163,089

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Solution

The third proportional to 74,983.50 and 163,089 is: 354,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,983.50 : 163,089 = 163,089 : x
  2. Step 2: Convert to fraction form
    74,983.50/163,089 = 163,089/x
  3. Step 3: Cross multiply
    74,983.50x = 163,089 × 163,089
  4. Step 4: Simplify right side
    74,983.50x = 26,598,021,921
  5. Step 5: Solve for x
    x = 26,598,021,921/74,983.50
  6. Step 6: Final answer
    x = 354,718.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.