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Finding the Third Proportional to 64,292 and 140,008

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Solution

The third proportional to 64,292 and 140,008 is: 304,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,292 : 140,008 = 140,008 : x
  2. Step 2: Convert to fraction form
    64,292/140,008 = 140,008/x
  3. Step 3: Cross multiply
    64,292x = 140,008 × 140,008
  4. Step 4: Simplify right side
    64,292x = 19,602,240,064
  5. Step 5: Solve for x
    x = 19,602,240,064/64,292
  6. Step 6: Final answer
    x = 304,893.92

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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.