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Finding the Third Proportional to 76,032 and 177,660

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Solution

The third proportional to 76,032 and 177,660 is: 415,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,032 : 177,660 = 177,660 : x
  2. Step 2: Convert to fraction form
    76,032/177,660 = 177,660/x
  3. Step 3: Cross multiply
    76,032x = 177,660 × 177,660
  4. Step 4: Simplify right side
    76,032x = 31,563,075,600
  5. Step 5: Solve for x
    x = 31,563,075,600/76,032
  6. Step 6: Final answer
    x = 415,128.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.