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Finding the Third Proportional to 71,658 and 110,495

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Solution

The third proportional to 71,658 and 110,495 is: 170,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658 : 110,495 = 110,495 : x
  2. Step 2: Convert to fraction form
    71,658/110,495 = 110,495/x
  3. Step 3: Cross multiply
    71,658x = 110,495 × 110,495
  4. Step 4: Simplify right side
    71,658x = 12,209,145,025
  5. Step 5: Solve for x
    x = 12,209,145,025/71,658
  6. Step 6: Final answer
    x = 170,380.77

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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.