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Finding the Third Proportional to 72,449 and 112,087

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Solution

The third proportional to 72,449 and 112,087 is: 173,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,449 : 112,087 = 112,087 : x
  2. Step 2: Convert to fraction form
    72,449/112,087 = 112,087/x
  3. Step 3: Cross multiply
    72,449x = 112,087 × 112,087
  4. Step 4: Simplify right side
    72,449x = 12,563,495,569
  5. Step 5: Solve for x
    x = 12,563,495,569/72,449
  6. Step 6: Final answer
    x = 173,411.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.