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Finding the Third Proportional to 96,795 and 142,018.31

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Solution

The third proportional to 96,795 and 142,018.31 is: 208,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,795 : 142,018.31 = 142,018.31 : x
  2. Step 2: Convert to fraction form
    96,795/142,018.31 = 142,018.31/x
  3. Step 3: Cross multiply
    96,795x = 142,018.31 × 142,018.31
  4. Step 4: Simplify right side
    96,795x = 20,169,201,085.35
  5. Step 5: Solve for x
    x = 20,169,201,085.35/96,795
  6. Step 6: Final answer
    x = 208,370.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.