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Finding the Third Proportional to 90,433 and 137,753.50

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Solution

The third proportional to 90,433 and 137,753.50 is: 209,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,433 : 137,753.50 = 137,753.50 : x
  2. Step 2: Convert to fraction form
    90,433/137,753.50 = 137,753.50/x
  3. Step 3: Cross multiply
    90,433x = 137,753.50 × 137,753.50
  4. Step 4: Simplify right side
    90,433x = 18,976,026,762.25
  5. Step 5: Solve for x
    x = 18,976,026,762.25/90,433
  6. Step 6: Final answer
    x = 209,835.20

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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.