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Finding the Third Proportional to 64,373 and 94,255

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Solution

The third proportional to 64,373 and 94,255 is: 138,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,373 : 94,255 = 94,255 : x
  2. Step 2: Convert to fraction form
    64,373/94,255 = 94,255/x
  3. Step 3: Cross multiply
    64,373x = 94,255 × 94,255
  4. Step 4: Simplify right side
    64,373x = 8,884,005,025
  5. Step 5: Solve for x
    x = 8,884,005,025/64,373
  6. Step 6: Final answer
    x = 138,008.25

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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.