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Finding the Third Proportional to 60,824 and 90,828

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Solution

The third proportional to 60,824 and 90,828 is: 135,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,824 : 90,828 = 90,828 : x
  2. Step 2: Convert to fraction form
    60,824/90,828 = 90,828/x
  3. Step 3: Cross multiply
    60,824x = 90,828 × 90,828
  4. Step 4: Simplify right side
    60,824x = 8,249,725,584
  5. Step 5: Solve for x
    x = 8,249,725,584/60,824
  6. Step 6: Final answer
    x = 135,632.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.