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Finding the Third Proportional to 59,925 and 93,999

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Solution

The third proportional to 59,925 and 93,999 is: 147,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,925 : 93,999 = 93,999 : x
  2. Step 2: Convert to fraction form
    59,925/93,999 = 93,999/x
  3. Step 3: Cross multiply
    59,925x = 93,999 × 93,999
  4. Step 4: Simplify right side
    59,925x = 8,835,812,001
  5. Step 5: Solve for x
    x = 8,835,812,001/59,925
  6. Step 6: Final answer
    x = 147,447.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.