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Finding the Third Proportional to 124,237 and 165,523.50

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Solution

The third proportional to 124,237 and 165,523.50 is: 220,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,237 : 165,523.50 = 165,523.50 : x
  2. Step 2: Convert to fraction form
    124,237/165,523.50 = 165,523.50/x
  3. Step 3: Cross multiply
    124,237x = 165,523.50 × 165,523.50
  4. Step 4: Simplify right side
    124,237x = 27,398,029,052.25
  5. Step 5: Solve for x
    x = 27,398,029,052.25/124,237
  6. Step 6: Final answer
    x = 220,530.35

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.