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Finding the Third Proportional to 105,989.50 and 148,544

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Solution

The third proportional to 105,989.50 and 148,544 is: 208,184.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,989.50 : 148,544 = 148,544 : x
  2. Step 2: Convert to fraction form
    105,989.50/148,544 = 148,544/x
  3. Step 3: Cross multiply
    105,989.50x = 148,544 × 148,544
  4. Step 4: Simplify right side
    105,989.50x = 22,065,319,936
  5. Step 5: Solve for x
    x = 22,065,319,936/105,989.50
  6. Step 6: Final answer
    x = 208,184.02

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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.