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Finding the Third Proportional to 124,184.81 and 196,727.06

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Solution

The third proportional to 124,184.81 and 196,727.06 is: 311,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,184.81 : 196,727.06 = 196,727.06 : x
  2. Step 2: Convert to fraction form
    124,184.81/196,727.06 = 196,727.06/x
  3. Step 3: Cross multiply
    124,184.81x = 196,727.06 × 196,727.06
  4. Step 4: Simplify right side
    124,184.81x = 38,701,537,119.88
  5. Step 5: Solve for x
    x = 38,701,537,119.88/124,184.81
  6. Step 6: Final answer
    x = 311,644.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.