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Finding the Third Proportional to 53,355 and 116,106

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Solution

The third proportional to 53,355 and 116,106 is: 252,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,355 : 116,106 = 116,106 : x
  2. Step 2: Convert to fraction form
    53,355/116,106 = 116,106/x
  3. Step 3: Cross multiply
    53,355x = 116,106 × 116,106
  4. Step 4: Simplify right side
    53,355x = 13,480,603,236
  5. Step 5: Solve for x
    x = 13,480,603,236/53,355
  6. Step 6: Final answer
    x = 252,658.67

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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.