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Finding the Third Proportional to 76,148 and 108,232

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Solution

The third proportional to 76,148 and 108,232 is: 153,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,148 : 108,232 = 108,232 : x
  2. Step 2: Convert to fraction form
    76,148/108,232 = 108,232/x
  3. Step 3: Cross multiply
    76,148x = 108,232 × 108,232
  4. Step 4: Simplify right side
    76,148x = 11,714,165,824
  5. Step 5: Solve for x
    x = 11,714,165,824/76,148
  6. Step 6: Final answer
    x = 153,834.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.