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Finding the Third Proportional to 75,415 and 148,925

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Solution

The third proportional to 75,415 and 148,925 is: 294,088.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,415 : 148,925 = 148,925 : x
  2. Step 2: Convert to fraction form
    75,415/148,925 = 148,925/x
  3. Step 3: Cross multiply
    75,415x = 148,925 × 148,925
  4. Step 4: Simplify right side
    75,415x = 22,178,655,625
  5. Step 5: Solve for x
    x = 22,178,655,625/75,415
  6. Step 6: Final answer
    x = 294,088.12

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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.