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Finding the Third Proportional to 113,772 and 153,159

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Solution

The third proportional to 113,772 and 153,159 is: 206,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,772 : 153,159 = 153,159 : x
  2. Step 2: Convert to fraction form
    113,772/153,159 = 153,159/x
  3. Step 3: Cross multiply
    113,772x = 153,159 × 153,159
  4. Step 4: Simplify right side
    113,772x = 23,457,679,281
  5. Step 5: Solve for x
    x = 23,457,679,281/113,772
  6. Step 6: Final answer
    x = 206,181.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.