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Finding the Third Proportional to 52,502 and 115,210.75

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Solution

The third proportional to 52,502 and 115,210.75 is: 252,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,502 : 115,210.75 = 115,210.75 : x
  2. Step 2: Convert to fraction form
    52,502/115,210.75 = 115,210.75/x
  3. Step 3: Cross multiply
    52,502x = 115,210.75 × 115,210.75
  4. Step 4: Simplify right side
    52,502x = 13,273,516,915.56
  5. Step 5: Solve for x
    x = 13,273,516,915.56/52,502
  6. Step 6: Final answer
    x = 252,819.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.