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Finding the Third Proportional to 55,364 and 118,792

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Solution

The third proportional to 55,364 and 118,792 is: 254,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,364 : 118,792 = 118,792 : x
  2. Step 2: Convert to fraction form
    55,364/118,792 = 118,792/x
  3. Step 3: Cross multiply
    55,364x = 118,792 × 118,792
  4. Step 4: Simplify right side
    55,364x = 14,111,539,264
  5. Step 5: Solve for x
    x = 14,111,539,264/55,364
  6. Step 6: Final answer
    x = 254,886.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.