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Finding the Third Proportional to 64,562 and 94,275

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Solution

The third proportional to 64,562 and 94,275 is: 137,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,562 : 94,275 = 94,275 : x
  2. Step 2: Convert to fraction form
    64,562/94,275 = 94,275/x
  3. Step 3: Cross multiply
    64,562x = 94,275 × 94,275
  4. Step 4: Simplify right side
    64,562x = 8,887,775,625
  5. Step 5: Solve for x
    x = 8,887,775,625/64,562
  6. Step 6: Final answer
    x = 137,662.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.