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Finding the Third Proportional to 124,416 and 188,928

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Solution

The third proportional to 124,416 and 188,928 is: 286,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,416 : 188,928 = 188,928 : x
  2. Step 2: Convert to fraction form
    124,416/188,928 = 188,928/x
  3. Step 3: Cross multiply
    124,416x = 188,928 × 188,928
  4. Step 4: Simplify right side
    124,416x = 35,693,789,184
  5. Step 5: Solve for x
    x = 35,693,789,184/124,416
  6. Step 6: Final answer
    x = 286,890.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.