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Finding the Third Proportional to 102,395 and 155,024

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Solution

The third proportional to 102,395 and 155,024 is: 234,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,395 : 155,024 = 155,024 : x
  2. Step 2: Convert to fraction form
    102,395/155,024 = 155,024/x
  3. Step 3: Cross multiply
    102,395x = 155,024 × 155,024
  4. Step 4: Simplify right side
    102,395x = 24,032,440,576
  5. Step 5: Solve for x
    x = 24,032,440,576/102,395
  6. Step 6: Final answer
    x = 234,703.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.