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Finding the Third Proportional to 72,624 and 112,155

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Solution

The third proportional to 72,624 and 112,155 is: 173,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,624 : 112,155 = 112,155 : x
  2. Step 2: Convert to fraction form
    72,624/112,155 = 112,155/x
  3. Step 3: Cross multiply
    72,624x = 112,155 × 112,155
  4. Step 4: Simplify right side
    72,624x = 12,578,744,025
  5. Step 5: Solve for x
    x = 12,578,744,025/72,624
  6. Step 6: Final answer
    x = 173,203.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.