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Finding the Third Proportional to 67,998 and 147,294

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Solution

The third proportional to 67,998 and 147,294 is: 319,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,998 : 147,294 = 147,294 : x
  2. Step 2: Convert to fraction form
    67,998/147,294 = 147,294/x
  3. Step 3: Cross multiply
    67,998x = 147,294 × 147,294
  4. Step 4: Simplify right side
    67,998x = 21,695,522,436
  5. Step 5: Solve for x
    x = 21,695,522,436/67,998
  6. Step 6: Final answer
    x = 319,061.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.