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Finding the Third Proportional to 61,648 and 133,008

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Solution

The third proportional to 61,648 and 133,008 is: 286,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,648 : 133,008 = 133,008 : x
  2. Step 2: Convert to fraction form
    61,648/133,008 = 133,008/x
  3. Step 3: Cross multiply
    61,648x = 133,008 × 133,008
  4. Step 4: Simplify right side
    61,648x = 17,691,128,064
  5. Step 5: Solve for x
    x = 17,691,128,064/61,648
  6. Step 6: Final answer
    x = 286,970.02

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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.