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Finding the Third Proportional to 99,232 and 143,184

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Solution

The third proportional to 99,232 and 143,184 is: 206,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,232 : 143,184 = 143,184 : x
  2. Step 2: Convert to fraction form
    99,232/143,184 = 143,184/x
  3. Step 3: Cross multiply
    99,232x = 143,184 × 143,184
  4. Step 4: Simplify right side
    99,232x = 20,501,657,856
  5. Step 5: Solve for x
    x = 20,501,657,856/99,232
  6. Step 6: Final answer
    x = 206,603.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.