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Finding the Third Proportional to 84,688 and 116,232

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Solution

The third proportional to 84,688 and 116,232 is: 159,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,688 : 116,232 = 116,232 : x
  2. Step 2: Convert to fraction form
    84,688/116,232 = 116,232/x
  3. Step 3: Cross multiply
    84,688x = 116,232 × 116,232
  4. Step 4: Simplify right side
    84,688x = 13,509,877,824
  5. Step 5: Solve for x
    x = 13,509,877,824/84,688
  6. Step 6: Final answer
    x = 159,525.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.