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Finding the Third Proportional to 44,485 and 97,178

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Solution

The third proportional to 44,485 and 97,178 is: 212,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,485 : 97,178 = 97,178 : x
  2. Step 2: Convert to fraction form
    44,485/97,178 = 97,178/x
  3. Step 3: Cross multiply
    44,485x = 97,178 × 97,178
  4. Step 4: Simplify right side
    44,485x = 9,443,563,684
  5. Step 5: Solve for x
    x = 9,443,563,684/44,485
  6. Step 6: Final answer
    x = 212,286.47

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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.