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Finding the Third Proportional to 115,859.06 and 175,422.56

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Solution

The third proportional to 115,859.06 and 175,422.56 is: 265,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,859.06 : 175,422.56 = 175,422.56 : x
  2. Step 2: Convert to fraction form
    115,859.06/175,422.56 = 175,422.56/x
  3. Step 3: Cross multiply
    115,859.06x = 175,422.56 × 175,422.56
  4. Step 4: Simplify right side
    115,859.06x = 30,773,075,434.07
  5. Step 5: Solve for x
    x = 30,773,075,434.07/115,859.06
  6. Step 6: Final answer
    x = 265,607.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.