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Finding the Third Proportional to 72,870.50 and 107,222

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Solution

The third proportional to 72,870.50 and 107,222 is: 157,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,870.50 : 107,222 = 107,222 : x
  2. Step 2: Convert to fraction form
    72,870.50/107,222 = 107,222/x
  3. Step 3: Cross multiply
    72,870.50x = 107,222 × 107,222
  4. Step 4: Simplify right side
    72,870.50x = 11,496,557,284
  5. Step 5: Solve for x
    x = 11,496,557,284/72,870.50
  6. Step 6: Final answer
    x = 157,766.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.