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Finding the Third Proportional to 66,531 and 149,718.50

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Solution

The third proportional to 66,531 and 149,718.50 is: 336,920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,531 : 149,718.50 = 149,718.50 : x
  2. Step 2: Convert to fraction form
    66,531/149,718.50 = 149,718.50/x
  3. Step 3: Cross multiply
    66,531x = 149,718.50 × 149,718.50
  4. Step 4: Simplify right side
    66,531x = 22,415,629,242.25
  5. Step 5: Solve for x
    x = 22,415,629,242.25/66,531
  6. Step 6: Final answer
    x = 336,920.07

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.