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Finding the Third Proportional to 61,106 and 133,073

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Solution

The third proportional to 61,106 and 133,073 is: 289,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,106 : 133,073 = 133,073 : x
  2. Step 2: Convert to fraction form
    61,106/133,073 = 133,073/x
  3. Step 3: Cross multiply
    61,106x = 133,073 × 133,073
  4. Step 4: Simplify right side
    61,106x = 17,708,423,329
  5. Step 5: Solve for x
    x = 17,708,423,329/61,106
  6. Step 6: Final answer
    x = 289,798.44

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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.