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Finding the Third Proportional to 63,969 and 101,218.50

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Solution

The third proportional to 63,969 and 101,218.50 is: 160,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,969 : 101,218.50 = 101,218.50 : x
  2. Step 2: Convert to fraction form
    63,969/101,218.50 = 101,218.50/x
  3. Step 3: Cross multiply
    63,969x = 101,218.50 × 101,218.50
  4. Step 4: Simplify right side
    63,969x = 10,245,184,742.25
  5. Step 5: Solve for x
    x = 10,245,184,742.25/63,969
  6. Step 6: Final answer
    x = 160,158.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.