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Finding the Third Proportional to 55,531 and 121,418

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Solution

The third proportional to 55,531 and 121,418 is: 265,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,531 : 121,418 = 121,418 : x
  2. Step 2: Convert to fraction form
    55,531/121,418 = 121,418/x
  3. Step 3: Cross multiply
    55,531x = 121,418 × 121,418
  4. Step 4: Simplify right side
    55,531x = 14,742,330,724
  5. Step 5: Solve for x
    x = 14,742,330,724/55,531
  6. Step 6: Final answer
    x = 265,479.29

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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.