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Finding the Third Proportional to 64,982 and 141,708

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Solution

The third proportional to 64,982 and 141,708 is: 309,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,982 : 141,708 = 141,708 : x
  2. Step 2: Convert to fraction form
    64,982/141,708 = 141,708/x
  3. Step 3: Cross multiply
    64,982x = 141,708 × 141,708
  4. Step 4: Simplify right side
    64,982x = 20,081,157,264
  5. Step 5: Solve for x
    x = 20,081,157,264/64,982
  6. Step 6: Final answer
    x = 309,026.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.