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Finding the Third Proportional to 106,573 and 153,966.50

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Solution

The third proportional to 106,573 and 153,966.50 is: 222,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,573 : 153,966.50 = 153,966.50 : x
  2. Step 2: Convert to fraction form
    106,573/153,966.50 = 153,966.50/x
  3. Step 3: Cross multiply
    106,573x = 153,966.50 × 153,966.50
  4. Step 4: Simplify right side
    106,573x = 23,705,683,122.25
  5. Step 5: Solve for x
    x = 23,705,683,122.25/106,573
  6. Step 6: Final answer
    x = 222,436.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.