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Finding the Third Proportional to 64,628 and 141,260

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Solution

The third proportional to 64,628 and 141,260 is: 308,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,628 : 141,260 = 141,260 : x
  2. Step 2: Convert to fraction form
    64,628/141,260 = 141,260/x
  3. Step 3: Cross multiply
    64,628x = 141,260 × 141,260
  4. Step 4: Simplify right side
    64,628x = 19,954,387,600
  5. Step 5: Solve for x
    x = 19,954,387,600/64,628
  6. Step 6: Final answer
    x = 308,757.62

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