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Finding the Third Proportional to 134,106.50 and 289,992.50

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Solution

The third proportional to 134,106.50 and 289,992.50 is: 627,081.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,106.50 : 289,992.50 = 289,992.50 : x
  2. Step 2: Convert to fraction form
    134,106.50/289,992.50 = 289,992.50/x
  3. Step 3: Cross multiply
    134,106.50x = 289,992.50 × 289,992.50
  4. Step 4: Simplify right side
    134,106.50x = 84,095,650,056.25
  5. Step 5: Solve for x
    x = 84,095,650,056.25/134,106.50
  6. Step 6: Final answer
    x = 627,081.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.