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Finding the Third Proportional to 73,726.50 and 173,312.25

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Solution

The third proportional to 73,726.50 and 173,312.25 is: 407,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,726.50 : 173,312.25 = 173,312.25 : x
  2. Step 2: Convert to fraction form
    73,726.50/173,312.25 = 173,312.25/x
  3. Step 3: Cross multiply
    73,726.50x = 173,312.25 × 173,312.25
  4. Step 4: Simplify right side
    73,726.50x = 30,037,136,000.06
  5. Step 5: Solve for x
    x = 30,037,136,000.06/73,726.50
  6. Step 6: Final answer
    x = 407,413.02

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.