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Finding the Third Proportional to 105,990.50 and 148,545.50

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Solution

The third proportional to 105,990.50 and 148,545.50 is: 208,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,990.50 : 148,545.50 = 148,545.50 : x
  2. Step 2: Convert to fraction form
    105,990.50/148,545.50 = 148,545.50/x
  3. Step 3: Cross multiply
    105,990.50x = 148,545.50 × 148,545.50
  4. Step 4: Simplify right side
    105,990.50x = 22,065,765,570.25
  5. Step 5: Solve for x
    x = 22,065,765,570.25/105,990.50
  6. Step 6: Final answer
    x = 208,186.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.