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Finding the Third Proportional to 58,414 and 94,911

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Solution

The third proportional to 58,414 and 94,911 is: 154,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,414 : 94,911 = 94,911 : x
  2. Step 2: Convert to fraction form
    58,414/94,911 = 94,911/x
  3. Step 3: Cross multiply
    58,414x = 94,911 × 94,911
  4. Step 4: Simplify right side
    58,414x = 9,008,097,921
  5. Step 5: Solve for x
    x = 9,008,097,921/58,414
  6. Step 6: Final answer
    x = 154,211.28

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.