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Finding the Third Proportional to 90,525 and 137,292

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Solution

The third proportional to 90,525 and 137,292 is: 208,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,525 : 137,292 = 137,292 : x
  2. Step 2: Convert to fraction form
    90,525/137,292 = 137,292/x
  3. Step 3: Cross multiply
    90,525x = 137,292 × 137,292
  4. Step 4: Simplify right side
    90,525x = 18,849,093,264
  5. Step 5: Solve for x
    x = 18,849,093,264/90,525
  6. Step 6: Final answer
    x = 208,219.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.