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Finding the Third Proportional to 25,504 and 60,304

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Solution

The third proportional to 25,504 and 60,304 is: 142,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,504 : 60,304 = 60,304 : x
  2. Step 2: Convert to fraction form
    25,504/60,304 = 60,304/x
  3. Step 3: Cross multiply
    25,504x = 60,304 × 60,304
  4. Step 4: Simplify right side
    25,504x = 3,636,572,416
  5. Step 5: Solve for x
    x = 3,636,572,416/25,504
  6. Step 6: Final answer
    x = 142,588.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.