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Finding the Third Proportional to 82,973 and 128,136

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Solution

The third proportional to 82,973 and 128,136 is: 197,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,973 : 128,136 = 128,136 : x
  2. Step 2: Convert to fraction form
    82,973/128,136 = 128,136/x
  3. Step 3: Cross multiply
    82,973x = 128,136 × 128,136
  4. Step 4: Simplify right side
    82,973x = 16,418,834,496
  5. Step 5: Solve for x
    x = 16,418,834,496/82,973
  6. Step 6: Final answer
    x = 197,881.65

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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.