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Finding the Third Proportional to 106,520 and 153,444

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Solution

The third proportional to 106,520 and 153,444 is: 221,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,520 : 153,444 = 153,444 : x
  2. Step 2: Convert to fraction form
    106,520/153,444 = 153,444/x
  3. Step 3: Cross multiply
    106,520x = 153,444 × 153,444
  4. Step 4: Simplify right side
    106,520x = 23,545,061,136
  5. Step 5: Solve for x
    x = 23,545,061,136/106,520
  6. Step 6: Final answer
    x = 221,038.88

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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.