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Finding the Third Proportional to 107,710.88 and 164,482.31

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Solution

The third proportional to 107,710.88 and 164,482.31 is: 251,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,710.88 : 164,482.31 = 164,482.31 : x
  2. Step 2: Convert to fraction form
    107,710.88/164,482.31 = 164,482.31/x
  3. Step 3: Cross multiply
    107,710.88x = 164,482.31 × 164,482.31
  4. Step 4: Simplify right side
    107,710.88x = 27,054,431,125.35
  5. Step 5: Solve for x
    x = 27,054,431,125.35/107,710.88
  6. Step 6: Final answer
    x = 251,176.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.