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Finding the Third Proportional to 66,010 and 144,333

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Solution

The third proportional to 66,010 and 144,333 is: 315,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,010 : 144,333 = 144,333 : x
  2. Step 2: Convert to fraction form
    66,010/144,333 = 144,333/x
  3. Step 3: Cross multiply
    66,010x = 144,333 × 144,333
  4. Step 4: Simplify right side
    66,010x = 20,832,014,889
  5. Step 5: Solve for x
    x = 20,832,014,889/66,010
  6. Step 6: Final answer
    x = 315,588.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.