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Finding the Third Proportional to 96,495 and 153,162

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Solution

The third proportional to 96,495 and 153,162 is: 243,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,495 : 153,162 = 153,162 : x
  2. Step 2: Convert to fraction form
    96,495/153,162 = 153,162/x
  3. Step 3: Cross multiply
    96,495x = 153,162 × 153,162
  4. Step 4: Simplify right side
    96,495x = 23,458,598,244
  5. Step 5: Solve for x
    x = 23,458,598,244/96,495
  6. Step 6: Final answer
    x = 243,106.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.