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Finding the Third Proportional to 90,630 and 137,943

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Solution

The third proportional to 90,630 and 137,943 is: 209,955.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,630 : 137,943 = 137,943 : x
  2. Step 2: Convert to fraction form
    90,630/137,943 = 137,943/x
  3. Step 3: Cross multiply
    90,630x = 137,943 × 137,943
  4. Step 4: Simplify right side
    90,630x = 19,028,271,249
  5. Step 5: Solve for x
    x = 19,028,271,249/90,630
  6. Step 6: Final answer
    x = 209,955.55

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