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Finding the Third Proportional to 68,870.25 and 145,881

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Solution

The third proportional to 68,870.25 and 145,881 is: 309,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,870.25 : 145,881 = 145,881 : x
  2. Step 2: Convert to fraction form
    68,870.25/145,881 = 145,881/x
  3. Step 3: Cross multiply
    68,870.25x = 145,881 × 145,881
  4. Step 4: Simplify right side
    68,870.25x = 21,281,266,161
  5. Step 5: Solve for x
    x = 21,281,266,161/68,870.25
  6. Step 6: Final answer
    x = 309,005.21

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