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Finding the Third Proportional to 137,579 and 183,455.50

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Solution

The third proportional to 137,579 and 183,455.50 is: 244,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,579 : 183,455.50 = 183,455.50 : x
  2. Step 2: Convert to fraction form
    137,579/183,455.50 = 183,455.50/x
  3. Step 3: Cross multiply
    137,579x = 183,455.50 × 183,455.50
  4. Step 4: Simplify right side
    137,579x = 33,655,920,480.25
  5. Step 5: Solve for x
    x = 33,655,920,480.25/137,579
  6. Step 6: Final answer
    x = 244,629.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.