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Finding the Third Proportional to 94,702.50 and 157,818

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Solution

The third proportional to 94,702.50 and 157,818 is: 262,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,702.50 : 157,818 = 157,818 : x
  2. Step 2: Convert to fraction form
    94,702.50/157,818 = 157,818/x
  3. Step 3: Cross multiply
    94,702.50x = 157,818 × 157,818
  4. Step 4: Simplify right side
    94,702.50x = 24,906,521,124
  5. Step 5: Solve for x
    x = 24,906,521,124/94,702.50
  6. Step 6: Final answer
    x = 262,997.50

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.