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Finding the Third Proportional to 97,636 and 142,998

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Solution

The third proportional to 97,636 and 142,998 is: 209,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,636 : 142,998 = 142,998 : x
  2. Step 2: Convert to fraction form
    97,636/142,998 = 142,998/x
  3. Step 3: Cross multiply
    97,636x = 142,998 × 142,998
  4. Step 4: Simplify right side
    97,636x = 20,448,428,004
  5. Step 5: Solve for x
    x = 20,448,428,004/97,636
  6. Step 6: Final answer
    x = 209,435.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.