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Finding the Third Proportional to 97,881 and 140,005.50

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Solution

The third proportional to 97,881 and 140,005.50 is: 200,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,881 : 140,005.50 = 140,005.50 : x
  2. Step 2: Convert to fraction form
    97,881/140,005.50 = 140,005.50/x
  3. Step 3: Cross multiply
    97,881x = 140,005.50 × 140,005.50
  4. Step 4: Simplify right side
    97,881x = 19,601,540,030.25
  5. Step 5: Solve for x
    x = 19,601,540,030.25/97,881
  6. Step 6: Final answer
    x = 200,258.89

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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.