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Finding the Third Proportional to 52,602 and 113,224

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Solution

The third proportional to 52,602 and 113,224 is: 243,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,602 : 113,224 = 113,224 : x
  2. Step 2: Convert to fraction form
    52,602/113,224 = 113,224/x
  3. Step 3: Cross multiply
    52,602x = 113,224 × 113,224
  4. Step 4: Simplify right side
    52,602x = 12,819,674,176
  5. Step 5: Solve for x
    x = 12,819,674,176/52,602
  6. Step 6: Final answer
    x = 243,710.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.