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Finding the Third Proportional to 75,816 and 164,731.50

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Solution

The third proportional to 75,816 and 164,731.50 is: 357,925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,816 : 164,731.50 = 164,731.50 : x
  2. Step 2: Convert to fraction form
    75,816/164,731.50 = 164,731.50/x
  3. Step 3: Cross multiply
    75,816x = 164,731.50 × 164,731.50
  4. Step 4: Simplify right side
    75,816x = 27,136,467,092.25
  5. Step 5: Solve for x
    x = 27,136,467,092.25/75,816
  6. Step 6: Final answer
    x = 357,925.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.