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Finding the Third Proportional to 103,872 and 148,024

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Solution

The third proportional to 103,872 and 148,024 is: 210,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,872 : 148,024 = 148,024 : x
  2. Step 2: Convert to fraction form
    103,872/148,024 = 148,024/x
  3. Step 3: Cross multiply
    103,872x = 148,024 × 148,024
  4. Step 4: Simplify right side
    103,872x = 21,911,104,576
  5. Step 5: Solve for x
    x = 21,911,104,576/103,872
  6. Step 6: Final answer
    x = 210,943.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.