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Finding the Third Proportional to 70,360 and 93,984

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Solution

The third proportional to 70,360 and 93,984 is: 125,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,360 : 93,984 = 93,984 : x
  2. Step 2: Convert to fraction form
    70,360/93,984 = 93,984/x
  3. Step 3: Cross multiply
    70,360x = 93,984 × 93,984
  4. Step 4: Simplify right side
    70,360x = 8,832,992,256
  5. Step 5: Solve for x
    x = 8,832,992,256/70,360
  6. Step 6: Final answer
    x = 125,539.97

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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.