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Finding the Third Proportional to 145,678.50 and 191,787.75

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Solution

The third proportional to 145,678.50 and 191,787.75 is: 252,491.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,678.50 : 191,787.75 = 191,787.75 : x
  2. Step 2: Convert to fraction form
    145,678.50/191,787.75 = 191,787.75/x
  3. Step 3: Cross multiply
    145,678.50x = 191,787.75 × 191,787.75
  4. Step 4: Simplify right side
    145,678.50x = 36,782,541,050.06
  5. Step 5: Solve for x
    x = 36,782,541,050.06/145,678.50
  6. Step 6: Final answer
    x = 252,491.21

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.