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Finding the Third Proportional to 94,596 and 141,907.50

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Solution

The third proportional to 94,596 and 141,907.50 is: 212,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,596 : 141,907.50 = 141,907.50 : x
  2. Step 2: Convert to fraction form
    94,596/141,907.50 = 141,907.50/x
  3. Step 3: Cross multiply
    94,596x = 141,907.50 × 141,907.50
  4. Step 4: Simplify right side
    94,596x = 20,137,738,556.25
  5. Step 5: Solve for x
    x = 20,137,738,556.25/94,596
  6. Step 6: Final answer
    x = 212,881.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.