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Finding the Third Proportional to 123,026.63 and 177,796.13

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Solution

The third proportional to 123,026.63 and 177,796.13 is: 256,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,026.63 : 177,796.13 = 177,796.13 : x
  2. Step 2: Convert to fraction form
    123,026.63/177,796.13 = 177,796.13/x
  3. Step 3: Cross multiply
    123,026.63x = 177,796.13 × 177,796.13
  4. Step 4: Simplify right side
    123,026.63x = 31,611,462,065.02
  5. Step 5: Solve for x
    x = 31,611,462,065.02/123,026.63
  6. Step 6: Final answer
    x = 256,948.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.