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Finding the Third Proportional to 97,316 and 145,974

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Solution

The third proportional to 97,316 and 145,974 is: 218,961

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,316 : 145,974 = 145,974 : x
  2. Step 2: Convert to fraction form
    97,316/145,974 = 145,974/x
  3. Step 3: Cross multiply
    97,316x = 145,974 × 145,974
  4. Step 4: Simplify right side
    97,316x = 21,308,408,676
  5. Step 5: Solve for x
    x = 21,308,408,676/97,316
  6. Step 6: Final answer
    x = 218,961

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.