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Finding the Third Proportional to 102,106.50 and 210,775.50

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Solution

The third proportional to 102,106.50 and 210,775.50 is: 435,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,106.50 : 210,775.50 = 210,775.50 : x
  2. Step 2: Convert to fraction form
    102,106.50/210,775.50 = 210,775.50/x
  3. Step 3: Cross multiply
    102,106.50x = 210,775.50 × 210,775.50
  4. Step 4: Simplify right side
    102,106.50x = 44,426,311,400.25
  5. Step 5: Solve for x
    x = 44,426,311,400.25/102,106.50
  6. Step 6: Final answer
    x = 435,097.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.