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Finding the Third Proportional to 97,983 and 150,807

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Solution

The third proportional to 97,983 and 150,807 is: 232,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,983 : 150,807 = 150,807 : x
  2. Step 2: Convert to fraction form
    97,983/150,807 = 150,807/x
  3. Step 3: Cross multiply
    97,983x = 150,807 × 150,807
  4. Step 4: Simplify right side
    97,983x = 22,742,751,249
  5. Step 5: Solve for x
    x = 22,742,751,249/97,983
  6. Step 6: Final answer
    x = 232,109.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.