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Finding the Third Proportional to 53,488.50 and 106,017.75

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Solution

The third proportional to 53,488.50 and 106,017.75 is: 210,134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,488.50 : 106,017.75 = 106,017.75 : x
  2. Step 2: Convert to fraction form
    53,488.50/106,017.75 = 106,017.75/x
  3. Step 3: Cross multiply
    53,488.50x = 106,017.75 × 106,017.75
  4. Step 4: Simplify right side
    53,488.50x = 11,239,763,315.06
  5. Step 5: Solve for x
    x = 11,239,763,315.06/53,488.50
  6. Step 6: Final answer
    x = 210,134.20

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.