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Finding the Third Proportional to 72,418.88 and 106,035.94

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Solution

The third proportional to 72,418.88 and 106,035.94 is: 155,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,418.88 : 106,035.94 = 106,035.94 : x
  2. Step 2: Convert to fraction form
    72,418.88/106,035.94 = 106,035.94/x
  3. Step 3: Cross multiply
    72,418.88x = 106,035.94 × 106,035.94
  4. Step 4: Simplify right side
    72,418.88x = 11,243,620,041.50
  5. Step 5: Solve for x
    x = 11,243,620,041.50/72,418.88
  6. Step 6: Final answer
    x = 155,258.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.