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Finding the Third Proportional to 120,148 and 173,068

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Solution

The third proportional to 120,148 and 173,068 is: 249,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,148 : 173,068 = 173,068 : x
  2. Step 2: Convert to fraction form
    120,148/173,068 = 173,068/x
  3. Step 3: Cross multiply
    120,148x = 173,068 × 173,068
  4. Step 4: Simplify right side
    120,148x = 29,952,532,624
  5. Step 5: Solve for x
    x = 29,952,532,624/120,148
  6. Step 6: Final answer
    x = 249,296.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.