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Finding the Third Proportional to 54,240 and 112,580

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Solution

The third proportional to 54,240 and 112,580 is: 233,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,240 : 112,580 = 112,580 : x
  2. Step 2: Convert to fraction form
    54,240/112,580 = 112,580/x
  3. Step 3: Cross multiply
    54,240x = 112,580 × 112,580
  4. Step 4: Simplify right side
    54,240x = 12,674,256,400
  5. Step 5: Solve for x
    x = 12,674,256,400/54,240
  6. Step 6: Final answer
    x = 233,669.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.