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Finding the Third Proportional to 66,614 and 142,726

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Solution

The third proportional to 66,614 and 142,726 is: 305,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,614 : 142,726 = 142,726 : x
  2. Step 2: Convert to fraction form
    66,614/142,726 = 142,726/x
  3. Step 3: Cross multiply
    66,614x = 142,726 × 142,726
  4. Step 4: Simplify right side
    66,614x = 20,370,711,076
  5. Step 5: Solve for x
    x = 20,370,711,076/66,614
  6. Step 6: Final answer
    x = 305,802.25

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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.