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Finding the Third Proportional to 45,604 and 102,920

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Solution

The third proportional to 45,604 and 102,920 is: 232,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,604 : 102,920 = 102,920 : x
  2. Step 2: Convert to fraction form
    45,604/102,920 = 102,920/x
  3. Step 3: Cross multiply
    45,604x = 102,920 × 102,920
  4. Step 4: Simplify right side
    45,604x = 10,592,526,400
  5. Step 5: Solve for x
    x = 10,592,526,400/45,604
  6. Step 6: Final answer
    x = 232,271.87

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.