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Finding the Third Proportional to 68,528.14 and 105,468.25

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Solution

The third proportional to 68,528.14 and 105,468.25 is: 162,320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,528.14 : 105,468.25 = 105,468.25 : x
  2. Step 2: Convert to fraction form
    68,528.14/105,468.25 = 105,468.25/x
  3. Step 3: Cross multiply
    68,528.14x = 105,468.25 × 105,468.25
  4. Step 4: Simplify right side
    68,528.14x = 11,123,551,552.07
  5. Step 5: Solve for x
    x = 11,123,551,552.07/68,528.14
  6. Step 6: Final answer
    x = 162,320.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.