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Finding the Third Proportional to 66,746.25 and 103,314.38

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Solution

The third proportional to 66,746.25 and 103,314.38 is: 159,917.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,746.25 : 103,314.38 = 103,314.38 : x
  2. Step 2: Convert to fraction form
    66,746.25/103,314.38 = 103,314.38/x
  3. Step 3: Cross multiply
    66,746.25x = 103,314.38 × 103,314.38
  4. Step 4: Simplify right side
    66,746.25x = 10,673,860,081.64
  5. Step 5: Solve for x
    x = 10,673,860,081.64/66,746.25
  6. Step 6: Final answer
    x = 159,917.00

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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.