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Finding the Third Proportional to 97,312 and 146,400

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Solution

The third proportional to 97,312 and 146,400 is: 220,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,312 : 146,400 = 146,400 : x
  2. Step 2: Convert to fraction form
    97,312/146,400 = 146,400/x
  3. Step 3: Cross multiply
    97,312x = 146,400 × 146,400
  4. Step 4: Simplify right side
    97,312x = 21,432,960,000
  5. Step 5: Solve for x
    x = 21,432,960,000/97,312
  6. Step 6: Final answer
    x = 220,249.92

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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.