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Finding the Third Proportional to 75,415 and 148,926

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Solution

The third proportional to 75,415 and 148,926 is: 294,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,415 : 148,926 = 148,926 : x
  2. Step 2: Convert to fraction form
    75,415/148,926 = 148,926/x
  3. Step 3: Cross multiply
    75,415x = 148,926 × 148,926
  4. Step 4: Simplify right side
    75,415x = 22,178,953,476
  5. Step 5: Solve for x
    x = 22,178,953,476/75,415
  6. Step 6: Final answer
    x = 294,092.07

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.