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Finding the Third Proportional to 72,600.19 and 155,705.06

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Solution

The third proportional to 72,600.19 and 155,705.06 is: 333,939.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,600.19 : 155,705.06 = 155,705.06 : x
  2. Step 2: Convert to fraction form
    72,600.19/155,705.06 = 155,705.06/x
  3. Step 3: Cross multiply
    72,600.19x = 155,705.06 × 155,705.06
  4. Step 4: Simplify right side
    72,600.19x = 24,244,066,488.13
  5. Step 5: Solve for x
    x = 24,244,066,488.13/72,600.19
  6. Step 6: Final answer
    x = 333,939.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.