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Finding the Third Proportional to 89,249 and 143,495

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Solution

The third proportional to 89,249 and 143,495 is: 230,712.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,249 : 143,495 = 143,495 : x
  2. Step 2: Convert to fraction form
    89,249/143,495 = 143,495/x
  3. Step 3: Cross multiply
    89,249x = 143,495 × 143,495
  4. Step 4: Simplify right side
    89,249x = 20,590,815,025
  5. Step 5: Solve for x
    x = 20,590,815,025/89,249
  6. Step 6: Final answer
    x = 230,712.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.