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Finding the Third Proportional to 67,218 and 147,540

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Solution

The third proportional to 67,218 and 147,540 is: 323,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,218 : 147,540 = 147,540 : x
  2. Step 2: Convert to fraction form
    67,218/147,540 = 147,540/x
  3. Step 3: Cross multiply
    67,218x = 147,540 × 147,540
  4. Step 4: Simplify right side
    67,218x = 21,768,051,600
  5. Step 5: Solve for x
    x = 21,768,051,600/67,218
  6. Step 6: Final answer
    x = 323,842.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.