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Finding the Third Proportional to 84,990 and 125,024.50

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Solution

The third proportional to 84,990 and 125,024.50 is: 183,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,990 : 125,024.50 = 125,024.50 : x
  2. Step 2: Convert to fraction form
    84,990/125,024.50 = 125,024.50/x
  3. Step 3: Cross multiply
    84,990x = 125,024.50 × 125,024.50
  4. Step 4: Simplify right side
    84,990x = 15,631,125,600.25
  5. Step 5: Solve for x
    x = 15,631,125,600.25/84,990
  6. Step 6: Final answer
    x = 183,917.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.