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Finding the Third Proportional to 132,981.75 and 201,927.94

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Solution

The third proportional to 132,981.75 and 201,927.94 is: 306,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,981.75 : 201,927.94 = 201,927.94 : x
  2. Step 2: Convert to fraction form
    132,981.75/201,927.94 = 201,927.94/x
  3. Step 3: Cross multiply
    132,981.75x = 201,927.94 × 201,927.94
  4. Step 4: Simplify right side
    132,981.75x = 40,774,891,943.00
  5. Step 5: Solve for x
    x = 40,774,891,943.00/132,981.75
  6. Step 6: Final answer
    x = 306,620.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.