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Finding the Third Proportional to 45,018 and 97,255

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Solution

The third proportional to 45,018 and 97,255 is: 210,105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,018 : 97,255 = 97,255 : x
  2. Step 2: Convert to fraction form
    45,018/97,255 = 97,255/x
  3. Step 3: Cross multiply
    45,018x = 97,255 × 97,255
  4. Step 4: Simplify right side
    45,018x = 9,458,535,025
  5. Step 5: Solve for x
    x = 9,458,535,025/45,018
  6. Step 6: Final answer
    x = 210,105.62

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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.