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Finding the Third Proportional to 58,911 and 89,223

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Solution

The third proportional to 58,911 and 89,223 is: 135,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,911 : 89,223 = 89,223 : x
  2. Step 2: Convert to fraction form
    58,911/89,223 = 89,223/x
  3. Step 3: Cross multiply
    58,911x = 89,223 × 89,223
  4. Step 4: Simplify right side
    58,911x = 7,960,743,729
  5. Step 5: Solve for x
    x = 7,960,743,729/58,911
  6. Step 6: Final answer
    x = 135,131.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.