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Finding the Third Proportional to 43,290 and 66,495

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Solution

The third proportional to 43,290 and 66,495 is: 102,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,290 : 66,495 = 66,495 : x
  2. Step 2: Convert to fraction form
    43,290/66,495 = 66,495/x
  3. Step 3: Cross multiply
    43,290x = 66,495 × 66,495
  4. Step 4: Simplify right side
    43,290x = 4,421,585,025
  5. Step 5: Solve for x
    x = 4,421,585,025/43,290
  6. Step 6: Final answer
    x = 102,138.72

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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.