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Finding the Third Proportional to 90,996 and 139,045.50

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Solution

The third proportional to 90,996 and 139,045.50 is: 212,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,996 : 139,045.50 = 139,045.50 : x
  2. Step 2: Convert to fraction form
    90,996/139,045.50 = 139,045.50/x
  3. Step 3: Cross multiply
    90,996x = 139,045.50 × 139,045.50
  4. Step 4: Simplify right side
    90,996x = 19,333,651,070.25
  5. Step 5: Solve for x
    x = 19,333,651,070.25/90,996
  6. Step 6: Final answer
    x = 212,467.04

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.