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Finding the Third Proportional to 124,929.84 and 198,694.27

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Solution

The third proportional to 124,929.84 and 198,694.27 is: 316,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,929.84 : 198,694.27 = 198,694.27 : x
  2. Step 2: Convert to fraction form
    124,929.84/198,694.27 = 198,694.27/x
  3. Step 3: Cross multiply
    124,929.84x = 198,694.27 × 198,694.27
  4. Step 4: Simplify right side
    124,929.84x = 39,479,411,192.26
  5. Step 5: Solve for x
    x = 39,479,411,192.26/124,929.84
  6. Step 6: Final answer
    x = 316,012.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.