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Finding the Third Proportional to 63,189 and 96,889.50

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Solution

The third proportional to 63,189 and 96,889.50 is: 148,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,189 : 96,889.50 = 96,889.50 : x
  2. Step 2: Convert to fraction form
    63,189/96,889.50 = 96,889.50/x
  3. Step 3: Cross multiply
    63,189x = 96,889.50 × 96,889.50
  4. Step 4: Simplify right side
    63,189x = 9,387,575,210.25
  5. Step 5: Solve for x
    x = 9,387,575,210.25/63,189
  6. Step 6: Final answer
    x = 148,563.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.