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Finding the Third Proportional to 66,934.50 and 103,641

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Solution

The third proportional to 66,934.50 and 103,641 is: 160,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,934.50 : 103,641 = 103,641 : x
  2. Step 2: Convert to fraction form
    66,934.50/103,641 = 103,641/x
  3. Step 3: Cross multiply
    66,934.50x = 103,641 × 103,641
  4. Step 4: Simplify right side
    66,934.50x = 10,741,456,881
  5. Step 5: Solve for x
    x = 10,741,456,881/66,934.50
  6. Step 6: Final answer
    x = 160,477.14

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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.