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Finding the Third Proportional to 45,441 and 97,200

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Solution

The third proportional to 45,441 and 97,200 is: 207,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,441 : 97,200 = 97,200 : x
  2. Step 2: Convert to fraction form
    45,441/97,200 = 97,200/x
  3. Step 3: Cross multiply
    45,441x = 97,200 × 97,200
  4. Step 4: Simplify right side
    45,441x = 9,447,840,000
  5. Step 5: Solve for x
    x = 9,447,840,000/45,441
  6. Step 6: Final answer
    x = 207,914.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.