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Finding the Third Proportional to 55,444 and 121,384

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Solution

The third proportional to 55,444 and 121,384 is: 265,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,444 : 121,384 = 121,384 : x
  2. Step 2: Convert to fraction form
    55,444/121,384 = 121,384/x
  3. Step 3: Cross multiply
    55,444x = 121,384 × 121,384
  4. Step 4: Simplify right side
    55,444x = 14,734,075,456
  5. Step 5: Solve for x
    x = 14,734,075,456/55,444
  6. Step 6: Final answer
    x = 265,746.98

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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.