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Finding the Third Proportional to 52,623 and 111,817.13

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Solution

The third proportional to 52,623 and 111,817.13 is: 237,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,623 : 111,817.13 = 111,817.13 : x
  2. Step 2: Convert to fraction form
    52,623/111,817.13 = 111,817.13/x
  3. Step 3: Cross multiply
    52,623x = 111,817.13 × 111,817.13
  4. Step 4: Simplify right side
    52,623x = 12,503,069,443.27
  5. Step 5: Solve for x
    x = 12,503,069,443.27/52,623
  6. Step 6: Final answer
    x = 237,597.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.