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Finding the Third Proportional to 55,922 and 82,297

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Solution

The third proportional to 55,922 and 82,297 is: 121,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,922 : 82,297 = 82,297 : x
  2. Step 2: Convert to fraction form
    55,922/82,297 = 82,297/x
  3. Step 3: Cross multiply
    55,922x = 82,297 × 82,297
  4. Step 4: Simplify right side
    55,922x = 6,772,796,209
  5. Step 5: Solve for x
    x = 6,772,796,209/55,922
  6. Step 6: Final answer
    x = 121,111.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.