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Finding the Third Proportional to 73,776 and 161,904

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Solution

The third proportional to 73,776 and 161,904 is: 355,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,776 : 161,904 = 161,904 : x
  2. Step 2: Convert to fraction form
    73,776/161,904 = 161,904/x
  3. Step 3: Cross multiply
    73,776x = 161,904 × 161,904
  4. Step 4: Simplify right side
    73,776x = 26,212,905,216
  5. Step 5: Solve for x
    x = 26,212,905,216/73,776
  6. Step 6: Final answer
    x = 355,303.96

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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.