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Finding the Third Proportional to 43,531 and 95,264

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Solution

The third proportional to 43,531 and 95,264 is: 208,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,531 : 95,264 = 95,264 : x
  2. Step 2: Convert to fraction form
    43,531/95,264 = 95,264/x
  3. Step 3: Cross multiply
    43,531x = 95,264 × 95,264
  4. Step 4: Simplify right side
    43,531x = 9,075,229,696
  5. Step 5: Solve for x
    x = 9,075,229,696/43,531
  6. Step 6: Final answer
    x = 208,477.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.