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Finding the Third Proportional to 45,985 and 100,583

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Solution

The third proportional to 45,985 and 100,583 is: 220,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,985 : 100,583 = 100,583 : x
  2. Step 2: Convert to fraction form
    45,985/100,583 = 100,583/x
  3. Step 3: Cross multiply
    45,985x = 100,583 × 100,583
  4. Step 4: Simplify right side
    45,985x = 10,116,939,889
  5. Step 5: Solve for x
    x = 10,116,939,889/45,985
  6. Step 6: Final answer
    x = 220,005.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.