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Finding the Third Proportional to 58,560 and 114,176

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Solution

The third proportional to 58,560 and 114,176 is: 222,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,560 : 114,176 = 114,176 : x
  2. Step 2: Convert to fraction form
    58,560/114,176 = 114,176/x
  3. Step 3: Cross multiply
    58,560x = 114,176 × 114,176
  4. Step 4: Simplify right side
    58,560x = 13,036,158,976
  5. Step 5: Solve for x
    x = 13,036,158,976/58,560
  6. Step 6: Final answer
    x = 222,612.00

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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.