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Finding the Third Proportional to 97,452 and 146,178

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Solution

The third proportional to 97,452 and 146,178 is: 219,267

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,452 : 146,178 = 146,178 : x
  2. Step 2: Convert to fraction form
    97,452/146,178 = 146,178/x
  3. Step 3: Cross multiply
    97,452x = 146,178 × 146,178
  4. Step 4: Simplify right side
    97,452x = 21,368,007,684
  5. Step 5: Solve for x
    x = 21,368,007,684/97,452
  6. Step 6: Final answer
    x = 219,267

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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.