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Finding the Third Proportional to 63,768 and 148,188

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Solution

The third proportional to 63,768 and 148,188 is: 344,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,768 : 148,188 = 148,188 : x
  2. Step 2: Convert to fraction form
    63,768/148,188 = 148,188/x
  3. Step 3: Cross multiply
    63,768x = 148,188 × 148,188
  4. Step 4: Simplify right side
    63,768x = 21,959,683,344
  5. Step 5: Solve for x
    x = 21,959,683,344/63,768
  6. Step 6: Final answer
    x = 344,368.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.