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Finding the Third Proportional to 73,095.75 and 160,151.06

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Solution

The third proportional to 73,095.75 and 160,151.06 is: 350,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,095.75 : 160,151.06 = 160,151.06 : x
  2. Step 2: Convert to fraction form
    73,095.75/160,151.06 = 160,151.06/x
  3. Step 3: Cross multiply
    73,095.75x = 160,151.06 × 160,151.06
  4. Step 4: Simplify right side
    73,095.75x = 25,648,362,819.88
  5. Step 5: Solve for x
    x = 25,648,362,819.88/73,095.75
  6. Step 6: Final answer
    x = 350,887.20

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Why These Related Problems?

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