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Finding the Third Proportional to 97,200 and 146,124

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Solution

The third proportional to 97,200 and 146,124 is: 219,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,200 : 146,124 = 146,124 : x
  2. Step 2: Convert to fraction form
    97,200/146,124 = 146,124/x
  3. Step 3: Cross multiply
    97,200x = 146,124 × 146,124
  4. Step 4: Simplify right side
    97,200x = 21,352,223,376
  5. Step 5: Solve for x
    x = 21,352,223,376/97,200
  6. Step 6: Final answer
    x = 219,673.08

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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.