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Finding the Third Proportional to 25,302 and 55,304

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Solution

The third proportional to 25,302 and 55,304 is: 120,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,302 : 55,304 = 55,304 : x
  2. Step 2: Convert to fraction form
    25,302/55,304 = 55,304/x
  3. Step 3: Cross multiply
    25,302x = 55,304 × 55,304
  4. Step 4: Simplify right side
    25,302x = 3,058,532,416
  5. Step 5: Solve for x
    x = 3,058,532,416/25,302
  6. Step 6: Final answer
    x = 120,881.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.