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Finding the Third Proportional to 115,090.88 and 177,557.06

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Solution

The third proportional to 115,090.88 and 177,557.06 is: 273,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,090.88 : 177,557.06 = 177,557.06 : x
  2. Step 2: Convert to fraction form
    115,090.88/177,557.06 = 177,557.06/x
  3. Step 3: Cross multiply
    115,090.88x = 177,557.06 × 177,557.06
  4. Step 4: Simplify right side
    115,090.88x = 31,526,510,443.63
  5. Step 5: Solve for x
    x = 31,526,510,443.63/115,090.88
  6. Step 6: Final answer
    x = 273,927.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.