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Finding the Third Proportional to 82,952 and 121,836

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Solution

The third proportional to 82,952 and 121,836 is: 178,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952 : 121,836 = 121,836 : x
  2. Step 2: Convert to fraction form
    82,952/121,836 = 121,836/x
  3. Step 3: Cross multiply
    82,952x = 121,836 × 121,836
  4. Step 4: Simplify right side
    82,952x = 14,844,010,896
  5. Step 5: Solve for x
    x = 14,844,010,896/82,952
  6. Step 6: Final answer
    x = 178,946.99

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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.