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Finding the Third Proportional to 120,136 and 173,048

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Solution

The third proportional to 120,136 and 173,048 is: 249,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,136 : 173,048 = 173,048 : x
  2. Step 2: Convert to fraction form
    120,136/173,048 = 173,048/x
  3. Step 3: Cross multiply
    120,136x = 173,048 × 173,048
  4. Step 4: Simplify right side
    120,136x = 29,945,610,304
  5. Step 5: Solve for x
    x = 29,945,610,304/120,136
  6. Step 6: Final answer
    x = 249,264.25

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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.