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Finding the Third Proportional to 45,014 and 97,006

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Solution

The third proportional to 45,014 and 97,006 is: 209,049.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,014 : 97,006 = 97,006 : x
  2. Step 2: Convert to fraction form
    45,014/97,006 = 97,006/x
  3. Step 3: Cross multiply
    45,014x = 97,006 × 97,006
  4. Step 4: Simplify right side
    45,014x = 9,410,164,036
  5. Step 5: Solve for x
    x = 9,410,164,036/45,014
  6. Step 6: Final answer
    x = 209,049.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.