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Finding the Third Proportional to 66,046 and 142,859

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Solution

The third proportional to 66,046 and 142,859 is: 309,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,046 : 142,859 = 142,859 : x
  2. Step 2: Convert to fraction form
    66,046/142,859 = 142,859/x
  3. Step 3: Cross multiply
    66,046x = 142,859 × 142,859
  4. Step 4: Simplify right side
    66,046x = 20,408,693,881
  5. Step 5: Solve for x
    x = 20,408,693,881/66,046
  6. Step 6: Final answer
    x = 309,007.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.