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Finding the Third Proportional to 45,025 and 97,978

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Solution

The third proportional to 45,025 and 97,978 is: 213,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,025 : 97,978 = 97,978 : x
  2. Step 2: Convert to fraction form
    45,025/97,978 = 97,978/x
  3. Step 3: Cross multiply
    45,025x = 97,978 × 97,978
  4. Step 4: Simplify right side
    45,025x = 9,599,688,484
  5. Step 5: Solve for x
    x = 9,599,688,484/45,025
  6. Step 6: Final answer
    x = 213,207.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.