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Finding the Third Proportional to 32,482 and 70,145

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Solution

The third proportional to 32,482 and 70,145 is: 151,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,482 : 70,145 = 70,145 : x
  2. Step 2: Convert to fraction form
    32,482/70,145 = 70,145/x
  3. Step 3: Cross multiply
    32,482x = 70,145 × 70,145
  4. Step 4: Simplify right side
    32,482x = 4,920,321,025
  5. Step 5: Solve for x
    x = 4,920,321,025/32,482
  6. Step 6: Final answer
    x = 151,478.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.