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Finding the Third Proportional to 72,091.69 and 158,068.13

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Solution

The third proportional to 72,091.69 and 158,068.13 is: 346,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,091.69 : 158,068.13 = 158,068.13 : x
  2. Step 2: Convert to fraction form
    72,091.69/158,068.13 = 158,068.13/x
  3. Step 3: Cross multiply
    72,091.69x = 158,068.13 × 158,068.13
  4. Step 4: Simplify right side
    72,091.69x = 24,985,532,141.02
  5. Step 5: Solve for x
    x = 24,985,532,141.02/72,091.69
  6. Step 6: Final answer
    x = 346,579.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.