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Finding the Third Proportional to 43,304 and 95,038

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Solution

The third proportional to 43,304 and 95,038 is: 208,577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,304 : 95,038 = 95,038 : x
  2. Step 2: Convert to fraction form
    43,304/95,038 = 95,038/x
  3. Step 3: Cross multiply
    43,304x = 95,038 × 95,038
  4. Step 4: Simplify right side
    43,304x = 9,032,221,444
  5. Step 5: Solve for x
    x = 9,032,221,444/43,304
  6. Step 6: Final answer
    x = 208,577.07

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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.