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Finding the Third Proportional to 85,915.69 and 93,570.19

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Solution

The third proportional to 85,915.69 and 93,570.19 is: 101,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,915.69 : 93,570.19 = 93,570.19 : x
  2. Step 2: Convert to fraction form
    85,915.69/93,570.19 = 93,570.19/x
  3. Step 3: Cross multiply
    85,915.69x = 93,570.19 × 93,570.19
  4. Step 4: Simplify right side
    85,915.69x = 8,755,379,988.79
  5. Step 5: Solve for x
    x = 8,755,379,988.79/85,915.69
  6. Step 6: Final answer
    x = 101,906.65

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.