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Finding the Third Proportional to 121,518 and 252,715.50

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Solution

The third proportional to 121,518 and 252,715.50 is: 525,561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,518 : 252,715.50 = 252,715.50 : x
  2. Step 2: Convert to fraction form
    121,518/252,715.50 = 252,715.50/x
  3. Step 3: Cross multiply
    121,518x = 252,715.50 × 252,715.50
  4. Step 4: Simplify right side
    121,518x = 63,865,123,940.25
  5. Step 5: Solve for x
    x = 63,865,123,940.25/121,518
  6. Step 6: Final answer
    x = 525,561.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.