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Finding the Third Proportional to 40,106 and 58,719

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Solution

The third proportional to 40,106 and 58,719 is: 85,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,106 : 58,719 = 58,719 : x
  2. Step 2: Convert to fraction form
    40,106/58,719 = 58,719/x
  3. Step 3: Cross multiply
    40,106x = 58,719 × 58,719
  4. Step 4: Simplify right side
    40,106x = 3,447,920,961
  5. Step 5: Solve for x
    x = 3,447,920,961/40,106
  6. Step 6: Final answer
    x = 85,970.20

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.