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Finding the Third Proportional to 82,480 and 128,032

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Solution

The third proportional to 82,480 and 128,032 is: 198,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,480 : 128,032 = 128,032 : x
  2. Step 2: Convert to fraction form
    82,480/128,032 = 128,032/x
  3. Step 3: Cross multiply
    82,480x = 128,032 × 128,032
  4. Step 4: Simplify right side
    82,480x = 16,392,193,024
  5. Step 5: Solve for x
    x = 16,392,193,024/82,480
  6. Step 6: Final answer
    x = 198,741.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.