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Finding the Third Proportional to 58,414 and 85,544

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Solution

The third proportional to 58,414 and 85,544 is: 125,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,414 : 85,544 = 85,544 : x
  2. Step 2: Convert to fraction form
    58,414/85,544 = 85,544/x
  3. Step 3: Cross multiply
    58,414x = 85,544 × 85,544
  4. Step 4: Simplify right side
    58,414x = 7,317,775,936
  5. Step 5: Solve for x
    x = 7,317,775,936/58,414
  6. Step 6: Final answer
    x = 125,274.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.