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Finding the Third Proportional to 77,824 and 170,772

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Solution

The third proportional to 77,824 and 170,772 is: 374,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,824 : 170,772 = 170,772 : x
  2. Step 2: Convert to fraction form
    77,824/170,772 = 170,772/x
  3. Step 3: Cross multiply
    77,824x = 170,772 × 170,772
  4. Step 4: Simplify right side
    77,824x = 29,163,075,984
  5. Step 5: Solve for x
    x = 29,163,075,984/77,824
  6. Step 6: Final answer
    x = 374,731.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.