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Finding the Third Proportional to 90,550 and 137,332

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Solution

The third proportional to 90,550 and 137,332 is: 208,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,550 : 137,332 = 137,332 : x
  2. Step 2: Convert to fraction form
    90,550/137,332 = 137,332/x
  3. Step 3: Cross multiply
    90,550x = 137,332 × 137,332
  4. Step 4: Simplify right side
    90,550x = 18,860,078,224
  5. Step 5: Solve for x
    x = 18,860,078,224/90,550
  6. Step 6: Final answer
    x = 208,283.58

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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.