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Finding the Third Proportional to 164,082 and 253,122

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Solution

The third proportional to 164,082 and 253,122 is: 390,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,082 : 253,122 = 253,122 : x
  2. Step 2: Convert to fraction form
    164,082/253,122 = 253,122/x
  3. Step 3: Cross multiply
    164,082x = 253,122 × 253,122
  4. Step 4: Simplify right side
    164,082x = 64,070,746,884
  5. Step 5: Solve for x
    x = 64,070,746,884/164,082
  6. Step 6: Final answer
    x = 390,480.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.