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Finding the Third Proportional to 67,495 and 148,213

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Solution

The third proportional to 67,495 and 148,213 is: 325,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,495 : 148,213 = 148,213 : x
  2. Step 2: Convert to fraction form
    67,495/148,213 = 148,213/x
  3. Step 3: Cross multiply
    67,495x = 148,213 × 148,213
  4. Step 4: Simplify right side
    67,495x = 21,967,093,369
  5. Step 5: Solve for x
    x = 21,967,093,369/67,495
  6. Step 6: Final answer
    x = 325,462.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.