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Finding the Third Proportional to 66,001.50 and 154,008

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Solution

The third proportional to 66,001.50 and 154,008 is: 359,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,001.50 : 154,008 = 154,008 : x
  2. Step 2: Convert to fraction form
    66,001.50/154,008 = 154,008/x
  3. Step 3: Cross multiply
    66,001.50x = 154,008 × 154,008
  4. Step 4: Simplify right side
    66,001.50x = 23,718,464,064
  5. Step 5: Solve for x
    x = 23,718,464,064/66,001.50
  6. Step 6: Final answer
    x = 359,362.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.