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Finding the Third Proportional to 133,562 and 190,981.50

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Solution

The third proportional to 133,562 and 190,981.50 is: 273,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,562 : 190,981.50 = 190,981.50 : x
  2. Step 2: Convert to fraction form
    133,562/190,981.50 = 190,981.50/x
  3. Step 3: Cross multiply
    133,562x = 190,981.50 × 190,981.50
  4. Step 4: Simplify right side
    133,562x = 36,473,933,342.25
  5. Step 5: Solve for x
    x = 36,473,933,342.25/133,562
  6. Step 6: Final answer
    x = 273,086.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.