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Finding the Third Proportional to 69,584 and 93,220

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Solution

The third proportional to 69,584 and 93,220 is: 124,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,584 : 93,220 = 93,220 : x
  2. Step 2: Convert to fraction form
    69,584/93,220 = 93,220/x
  3. Step 3: Cross multiply
    69,584x = 93,220 × 93,220
  4. Step 4: Simplify right side
    69,584x = 8,689,968,400
  5. Step 5: Solve for x
    x = 8,689,968,400/69,584
  6. Step 6: Final answer
    x = 124,884.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.