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Finding the Third Proportional to 58,064 and 127,322

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Solution

The third proportional to 58,064 and 127,322 is: 279,190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,064 : 127,322 = 127,322 : x
  2. Step 2: Convert to fraction form
    58,064/127,322 = 127,322/x
  3. Step 3: Cross multiply
    58,064x = 127,322 × 127,322
  4. Step 4: Simplify right side
    58,064x = 16,210,891,684
  5. Step 5: Solve for x
    x = 16,210,891,684/58,064
  6. Step 6: Final answer
    x = 279,190.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.