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Finding the Third Proportional to 68,998 and 149,070

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Solution

The third proportional to 68,998 and 149,070 is: 322,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,998 : 149,070 = 149,070 : x
  2. Step 2: Convert to fraction form
    68,998/149,070 = 149,070/x
  3. Step 3: Cross multiply
    68,998x = 149,070 × 149,070
  4. Step 4: Simplify right side
    68,998x = 22,221,864,900
  5. Step 5: Solve for x
    x = 22,221,864,900/68,998
  6. Step 6: Final answer
    x = 322,065.35

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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.