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Finding the Third Proportional to 53,220 and 115,302

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Solution

The third proportional to 53,220 and 115,302 is: 249,803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,220 : 115,302 = 115,302 : x
  2. Step 2: Convert to fraction form
    53,220/115,302 = 115,302/x
  3. Step 3: Cross multiply
    53,220x = 115,302 × 115,302
  4. Step 4: Simplify right side
    53,220x = 13,294,551,204
  5. Step 5: Solve for x
    x = 13,294,551,204/53,220
  6. Step 6: Final answer
    x = 249,803.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.