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Finding the Third Proportional to 75,647.50 and 164,602.75

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Solution

The third proportional to 75,647.50 and 164,602.75 is: 358,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,647.50 : 164,602.75 = 164,602.75 : x
  2. Step 2: Convert to fraction form
    75,647.50/164,602.75 = 164,602.75/x
  3. Step 3: Cross multiply
    75,647.50x = 164,602.75 × 164,602.75
  4. Step 4: Simplify right side
    75,647.50x = 27,094,065,307.56
  5. Step 5: Solve for x
    x = 27,094,065,307.56/75,647.50
  6. Step 6: Final answer
    x = 358,162.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.