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Finding the Third Proportional to 78,870.50 and 173,035

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Solution

The third proportional to 78,870.50 and 173,035 is: 379,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,870.50 : 173,035 = 173,035 : x
  2. Step 2: Convert to fraction form
    78,870.50/173,035 = 173,035/x
  3. Step 3: Cross multiply
    78,870.50x = 173,035 × 173,035
  4. Step 4: Simplify right side
    78,870.50x = 29,941,111,225
  5. Step 5: Solve for x
    x = 29,941,111,225/78,870.50
  6. Step 6: Final answer
    x = 379,623.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.