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Finding the Third Proportional to 46,166 and 70,221

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Solution

The third proportional to 46,166 and 70,221 is: 106,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,166 : 70,221 = 70,221 : x
  2. Step 2: Convert to fraction form
    46,166/70,221 = 70,221/x
  3. Step 3: Cross multiply
    46,166x = 70,221 × 70,221
  4. Step 4: Simplify right side
    46,166x = 4,930,988,841
  5. Step 5: Solve for x
    x = 4,930,988,841/46,166
  6. Step 6: Final answer
    x = 106,809.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.