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Finding the Third Proportional to 25,301 and 55,523

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Solution

The third proportional to 25,301 and 55,523 is: 121,845.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,301 : 55,523 = 55,523 : x
  2. Step 2: Convert to fraction form
    25,301/55,523 = 55,523/x
  3. Step 3: Cross multiply
    25,301x = 55,523 × 55,523
  4. Step 4: Simplify right side
    25,301x = 3,082,803,529
  5. Step 5: Solve for x
    x = 3,082,803,529/25,301
  6. Step 6: Final answer
    x = 121,845.13

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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.