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Finding the Third Proportional to 66,588 and 142,653

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Solution

The third proportional to 66,588 and 142,653 is: 305,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,588 : 142,653 = 142,653 : x
  2. Step 2: Convert to fraction form
    66,588/142,653 = 142,653/x
  3. Step 3: Cross multiply
    66,588x = 142,653 × 142,653
  4. Step 4: Simplify right side
    66,588x = 20,349,878,409
  5. Step 5: Solve for x
    x = 20,349,878,409/66,588
  6. Step 6: Final answer
    x = 305,608.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.