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Finding the Third Proportional to 75,878.96 and 163,915.21

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Solution

The third proportional to 75,878.96 and 163,915.21 is: 354,092.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.96 : 163,915.21 = 163,915.21 : x
  2. Step 2: Convert to fraction form
    75,878.96/163,915.21 = 163,915.21/x
  3. Step 3: Cross multiply
    75,878.96x = 163,915.21 × 163,915.21
  4. Step 4: Simplify right side
    75,878.96x = 26,868,195,096.10
  5. Step 5: Solve for x
    x = 26,868,195,096.10/75,878.96
  6. Step 6: Final answer
    x = 354,092.80

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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.