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Finding the Third Proportional to 75,146 and 112,485

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Solution

The third proportional to 75,146 and 112,485 is: 168,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,146 : 112,485 = 112,485 : x
  2. Step 2: Convert to fraction form
    75,146/112,485 = 112,485/x
  3. Step 3: Cross multiply
    75,146x = 112,485 × 112,485
  4. Step 4: Simplify right side
    75,146x = 12,652,875,225
  5. Step 5: Solve for x
    x = 12,652,875,225/75,146
  6. Step 6: Final answer
    x = 168,377.23

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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.