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Finding the Third Proportional to 72,419.91 and 106,037.44

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Solution

The third proportional to 72,419.91 and 106,037.44 is: 155,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,419.91 : 106,037.44 = 106,037.44 : x
  2. Step 2: Convert to fraction form
    72,419.91/106,037.44 = 106,037.44/x
  3. Step 3: Cross multiply
    72,419.91x = 106,037.44 × 106,037.44
  4. Step 4: Simplify right side
    72,419.91x = 11,243,938,151.57
  5. Step 5: Solve for x
    x = 11,243,938,151.57/72,419.91
  6. Step 6: Final answer
    x = 155,260.32

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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.