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Finding the Third Proportional to 58,520 and 114,080

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Solution

The third proportional to 58,520 and 114,080 is: 222,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,520 : 114,080 = 114,080 : x
  2. Step 2: Convert to fraction form
    58,520/114,080 = 114,080/x
  3. Step 3: Cross multiply
    58,520x = 114,080 × 114,080
  4. Step 4: Simplify right side
    58,520x = 13,014,246,400
  5. Step 5: Solve for x
    x = 13,014,246,400/58,520
  6. Step 6: Final answer
    x = 222,389.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.