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Finding the Third Proportional to 74,510 and 145,272

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Solution

The third proportional to 74,510 and 145,272 is: 283,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,510 : 145,272 = 145,272 : x
  2. Step 2: Convert to fraction form
    74,510/145,272 = 145,272/x
  3. Step 3: Cross multiply
    74,510x = 145,272 × 145,272
  4. Step 4: Simplify right side
    74,510x = 21,103,953,984
  5. Step 5: Solve for x
    x = 21,103,953,984/74,510
  6. Step 6: Final answer
    x = 283,236.53

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.