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Finding the Third Proportional to 72,904.50 and 112,583.25

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Solution

The third proportional to 72,904.50 and 112,583.25 is: 173,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,904.50 : 112,583.25 = 112,583.25 : x
  2. Step 2: Convert to fraction form
    72,904.50/112,583.25 = 112,583.25/x
  3. Step 3: Cross multiply
    72,904.50x = 112,583.25 × 112,583.25
  4. Step 4: Simplify right side
    72,904.50x = 12,674,988,180.56
  5. Step 5: Solve for x
    x = 12,674,988,180.56/72,904.50
  6. Step 6: Final answer
    x = 173,857.42

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.