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Finding the Third Proportional to 72,482.50 and 109,726

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Solution

The third proportional to 72,482.50 and 109,726 is: 166,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,482.50 : 109,726 = 109,726 : x
  2. Step 2: Convert to fraction form
    72,482.50/109,726 = 109,726/x
  3. Step 3: Cross multiply
    72,482.50x = 109,726 × 109,726
  4. Step 4: Simplify right side
    72,482.50x = 12,039,795,076
  5. Step 5: Solve for x
    x = 12,039,795,076/72,482.50
  6. Step 6: Final answer
    x = 166,106.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.