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Finding the Third Proportional to 60,097 and 139,120

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Solution

The third proportional to 60,097 and 139,120 is: 322,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,097 : 139,120 = 139,120 : x
  2. Step 2: Convert to fraction form
    60,097/139,120 = 139,120/x
  3. Step 3: Cross multiply
    60,097x = 139,120 × 139,120
  4. Step 4: Simplify right side
    60,097x = 19,354,374,400
  5. Step 5: Solve for x
    x = 19,354,374,400/60,097
  6. Step 6: Final answer
    x = 322,052.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.