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Finding the Third Proportional to 89,173 and 130,477

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Solution

The third proportional to 89,173 and 130,477 is: 190,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,173 : 130,477 = 130,477 : x
  2. Step 2: Convert to fraction form
    89,173/130,477 = 130,477/x
  3. Step 3: Cross multiply
    89,173x = 130,477 × 130,477
  4. Step 4: Simplify right side
    89,173x = 17,024,247,529
  5. Step 5: Solve for x
    x = 17,024,247,529/89,173
  6. Step 6: Final answer
    x = 190,912.58

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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.