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Finding the Third Proportional to 75,094 and 112,415

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Solution

The third proportional to 75,094 and 112,415 is: 168,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,094 : 112,415 = 112,415 : x
  2. Step 2: Convert to fraction form
    75,094/112,415 = 112,415/x
  3. Step 3: Cross multiply
    75,094x = 112,415 × 112,415
  4. Step 4: Simplify right side
    75,094x = 12,637,132,225
  5. Step 5: Solve for x
    x = 12,637,132,225/75,094
  6. Step 6: Final answer
    x = 168,284.18

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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.