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Finding the Third Proportional to 53,084 and 111,928

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Solution

The third proportional to 53,084 and 111,928 is: 236,001.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,084 : 111,928 = 111,928 : x
  2. Step 2: Convert to fraction form
    53,084/111,928 = 111,928/x
  3. Step 3: Cross multiply
    53,084x = 111,928 × 111,928
  4. Step 4: Simplify right side
    53,084x = 12,527,877,184
  5. Step 5: Solve for x
    x = 12,527,877,184/53,084
  6. Step 6: Final answer
    x = 236,001.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.