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Finding the Third Proportional to 97,208.25 and 139,008

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Solution

The third proportional to 97,208.25 and 139,008 is: 198,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,208.25 : 139,008 = 139,008 : x
  2. Step 2: Convert to fraction form
    97,208.25/139,008 = 139,008/x
  3. Step 3: Cross multiply
    97,208.25x = 139,008 × 139,008
  4. Step 4: Simplify right side
    97,208.25x = 19,323,224,064
  5. Step 5: Solve for x
    x = 19,323,224,064/97,208.25
  6. Step 6: Final answer
    x = 198,781.73

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.