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Finding the Third Proportional to 66,988 and 103,679.50

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Solution

The third proportional to 66,988 and 103,679.50 is: 160,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,988 : 103,679.50 = 103,679.50 : x
  2. Step 2: Convert to fraction form
    66,988/103,679.50 = 103,679.50/x
  3. Step 3: Cross multiply
    66,988x = 103,679.50 × 103,679.50
  4. Step 4: Simplify right side
    66,988x = 10,749,438,720.25
  5. Step 5: Solve for x
    x = 10,749,438,720.25/66,988
  6. Step 6: Final answer
    x = 160,468.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.