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Finding the Third Proportional to 75,210 and 160,788

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Solution

The third proportional to 75,210 and 160,788 is: 343,741.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,210 : 160,788 = 160,788 : x
  2. Step 2: Convert to fraction form
    75,210/160,788 = 160,788/x
  3. Step 3: Cross multiply
    75,210x = 160,788 × 160,788
  4. Step 4: Simplify right side
    75,210x = 25,852,780,944
  5. Step 5: Solve for x
    x = 25,852,780,944/75,210
  6. Step 6: Final answer
    x = 343,741.27

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Why These Related Problems?

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