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Finding the Third Proportional to 71,353.50 and 109,719

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Solution

The third proportional to 71,353.50 and 109,719 is: 168,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,353.50 : 109,719 = 109,719 : x
  2. Step 2: Convert to fraction form
    71,353.50/109,719 = 109,719/x
  3. Step 3: Cross multiply
    71,353.50x = 109,719 × 109,719
  4. Step 4: Simplify right side
    71,353.50x = 12,038,258,961
  5. Step 5: Solve for x
    x = 12,038,258,961/71,353.50
  6. Step 6: Final answer
    x = 168,712.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.