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Finding the Third Proportional to 74,727 and 154,552.50

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Solution

The third proportional to 74,727 and 154,552.50 is: 319,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,727 : 154,552.50 = 154,552.50 : x
  2. Step 2: Convert to fraction form
    74,727/154,552.50 = 154,552.50/x
  3. Step 3: Cross multiply
    74,727x = 154,552.50 × 154,552.50
  4. Step 4: Simplify right side
    74,727x = 23,886,475,256.25
  5. Step 5: Solve for x
    x = 23,886,475,256.25/74,727
  6. Step 6: Final answer
    x = 319,649.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.