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Finding the Third Proportional to 67,300 and 142,798

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Solution

The third proportional to 67,300 and 142,798 is: 302,990.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,300 : 142,798 = 142,798 : x
  2. Step 2: Convert to fraction form
    67,300/142,798 = 142,798/x
  3. Step 3: Cross multiply
    67,300x = 142,798 × 142,798
  4. Step 4: Simplify right side
    67,300x = 20,391,268,804
  5. Step 5: Solve for x
    x = 20,391,268,804/67,300
  6. Step 6: Final answer
    x = 302,990.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.