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Finding the Third Proportional to 89,358 and 192,445

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Solution

The third proportional to 89,358 and 192,445 is: 414,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,358 : 192,445 = 192,445 : x
  2. Step 2: Convert to fraction form
    89,358/192,445 = 192,445/x
  3. Step 3: Cross multiply
    89,358x = 192,445 × 192,445
  4. Step 4: Simplify right side
    89,358x = 37,035,078,025
  5. Step 5: Solve for x
    x = 37,035,078,025/89,358
  6. Step 6: Final answer
    x = 414,457.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.