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Finding the Third Proportional to 90,774 and 139,987.50

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Solution

The third proportional to 90,774 and 139,987.50 is: 215,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,774 : 139,987.50 = 139,987.50 : x
  2. Step 2: Convert to fraction form
    90,774/139,987.50 = 139,987.50/x
  3. Step 3: Cross multiply
    90,774x = 139,987.50 × 139,987.50
  4. Step 4: Simplify right side
    90,774x = 19,596,500,156.25
  5. Step 5: Solve for x
    x = 19,596,500,156.25/90,774
  6. Step 6: Final answer
    x = 215,882.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.