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Finding the Third Proportional to 84,362.34 and 118,649.81

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Solution

The third proportional to 84,362.34 and 118,649.81 is: 166,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,362.34 : 118,649.81 = 118,649.81 : x
  2. Step 2: Convert to fraction form
    84,362.34/118,649.81 = 118,649.81/x
  3. Step 3: Cross multiply
    84,362.34x = 118,649.81 × 118,649.81
  4. Step 4: Simplify right side
    84,362.34x = 14,077,778,006.29
  5. Step 5: Solve for x
    x = 14,077,778,006.29/84,362.34
  6. Step 6: Final answer
    x = 166,872.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.