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Finding the Third Proportional to 72,482.91 and 149,937.75

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Solution

The third proportional to 72,482.91 and 149,937.75 is: 310,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,482.91 : 149,937.75 = 149,937.75 : x
  2. Step 2: Convert to fraction form
    72,482.91/149,937.75 = 149,937.75/x
  3. Step 3: Cross multiply
    72,482.91x = 149,937.75 × 149,937.75
  4. Step 4: Simplify right side
    72,482.91x = 22,481,328,875.06
  5. Step 5: Solve for x
    x = 22,481,328,875.06/72,482.91
  6. Step 6: Final answer
    x = 310,160.42

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.