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Finding the Third Proportional to 97,954 and 145,491

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Solution

The third proportional to 97,954 and 145,491 is: 216,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,954 : 145,491 = 145,491 : x
  2. Step 2: Convert to fraction form
    97,954/145,491 = 145,491/x
  3. Step 3: Cross multiply
    97,954x = 145,491 × 145,491
  4. Step 4: Simplify right side
    97,954x = 21,167,631,081
  5. Step 5: Solve for x
    x = 21,167,631,081/97,954
  6. Step 6: Final answer
    x = 216,097.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.