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Finding the Third Proportional to 68,341 and 147,913

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Solution

The third proportional to 68,341 and 147,913 is: 320,133.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,341 : 147,913 = 147,913 : x
  2. Step 2: Convert to fraction form
    68,341/147,913 = 147,913/x
  3. Step 3: Cross multiply
    68,341x = 147,913 × 147,913
  4. Step 4: Simplify right side
    68,341x = 21,878,255,569
  5. Step 5: Solve for x
    x = 21,878,255,569/68,341
  6. Step 6: Final answer
    x = 320,133.68

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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.