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Finding the Third Proportional to 65,925 and 89,815.50

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Solution

The third proportional to 65,925 and 89,815.50 is: 122,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,925 : 89,815.50 = 89,815.50 : x
  2. Step 2: Convert to fraction form
    65,925/89,815.50 = 89,815.50/x
  3. Step 3: Cross multiply
    65,925x = 89,815.50 × 89,815.50
  4. Step 4: Simplify right side
    65,925x = 8,066,824,040.25
  5. Step 5: Solve for x
    x = 8,066,824,040.25/65,925
  6. Step 6: Final answer
    x = 122,363.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.