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Finding the Third Proportional to 72,829.13 and 96,805.13

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Solution

The third proportional to 72,829.13 and 96,805.13 is: 128,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,829.13 : 96,805.13 = 96,805.13 : x
  2. Step 2: Convert to fraction form
    72,829.13/96,805.13 = 96,805.13/x
  3. Step 3: Cross multiply
    72,829.13x = 96,805.13 × 96,805.13
  4. Step 4: Simplify right side
    72,829.13x = 9,371,232,226.27
  5. Step 5: Solve for x
    x = 9,371,232,226.27/72,829.13
  6. Step 6: Final answer
    x = 128,674.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.