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Finding the Third Proportional to 70,374 and 103,253

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Solution

The third proportional to 70,374 and 103,253 is: 151,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,374 : 103,253 = 103,253 : x
  2. Step 2: Convert to fraction form
    70,374/103,253 = 103,253/x
  3. Step 3: Cross multiply
    70,374x = 103,253 × 103,253
  4. Step 4: Simplify right side
    70,374x = 10,661,182,009
  5. Step 5: Solve for x
    x = 10,661,182,009/70,374
  6. Step 6: Final answer
    x = 151,493.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.