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Finding the Third Proportional to 75,006 and 112,428

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Solution

The third proportional to 75,006 and 112,428 is: 168,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,006 : 112,428 = 112,428 : x
  2. Step 2: Convert to fraction form
    75,006/112,428 = 112,428/x
  3. Step 3: Cross multiply
    75,006x = 112,428 × 112,428
  4. Step 4: Simplify right side
    75,006x = 12,640,055,184
  5. Step 5: Solve for x
    x = 12,640,055,184/75,006
  6. Step 6: Final answer
    x = 168,520.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.