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Finding the Third Proportional to 60,532 and 93,946

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Solution

The third proportional to 60,532 and 93,946 is: 145,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,532 : 93,946 = 93,946 : x
  2. Step 2: Convert to fraction form
    60,532/93,946 = 93,946/x
  3. Step 3: Cross multiply
    60,532x = 93,946 × 93,946
  4. Step 4: Simplify right side
    60,532x = 8,825,850,916
  5. Step 5: Solve for x
    x = 8,825,850,916/60,532
  6. Step 6: Final answer
    x = 145,804.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.