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Finding the Third Proportional to 56,894 and 90,435

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Solution

The third proportional to 56,894 and 90,435 is: 143,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,894 : 90,435 = 90,435 : x
  2. Step 2: Convert to fraction form
    56,894/90,435 = 90,435/x
  3. Step 3: Cross multiply
    56,894x = 90,435 × 90,435
  4. Step 4: Simplify right side
    56,894x = 8,178,489,225
  5. Step 5: Solve for x
    x = 8,178,489,225/56,894
  6. Step 6: Final answer
    x = 143,749.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.