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Finding the Third Proportional to 87,870.75 and 133,038.25

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Solution

The third proportional to 87,870.75 and 133,038.25 is: 201,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,870.75 : 133,038.25 = 133,038.25 : x
  2. Step 2: Convert to fraction form
    87,870.75/133,038.25 = 133,038.25/x
  3. Step 3: Cross multiply
    87,870.75x = 133,038.25 × 133,038.25
  4. Step 4: Simplify right side
    87,870.75x = 17,699,175,963.06
  5. Step 5: Solve for x
    x = 17,699,175,963.06/87,870.75
  6. Step 6: Final answer
    x = 201,422.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.