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Finding the Third Proportional to 44,709 and 97,107

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Solution

The third proportional to 44,709 and 97,107 is: 210,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,709 : 97,107 = 97,107 : x
  2. Step 2: Convert to fraction form
    44,709/97,107 = 97,107/x
  3. Step 3: Cross multiply
    44,709x = 97,107 × 97,107
  4. Step 4: Simplify right side
    44,709x = 9,429,769,449
  5. Step 5: Solve for x
    x = 9,429,769,449/44,709
  6. Step 6: Final answer
    x = 210,914.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.