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Finding the Third Proportional to 47,782.50 and 102,261

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Solution

The third proportional to 47,782.50 and 102,261 is: 218,852.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,782.50 : 102,261 = 102,261 : x
  2. Step 2: Convert to fraction form
    47,782.50/102,261 = 102,261/x
  3. Step 3: Cross multiply
    47,782.50x = 102,261 × 102,261
  4. Step 4: Simplify right side
    47,782.50x = 10,457,312,121
  5. Step 5: Solve for x
    x = 10,457,312,121/47,782.50
  6. Step 6: Final answer
    x = 218,852.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.