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Finding the Third Proportional to 78,528 and 174,471

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Solution

The third proportional to 78,528 and 174,471 is: 387,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,528 : 174,471 = 174,471 : x
  2. Step 2: Convert to fraction form
    78,528/174,471 = 174,471/x
  3. Step 3: Cross multiply
    78,528x = 174,471 × 174,471
  4. Step 4: Simplify right side
    78,528x = 30,440,129,841
  5. Step 5: Solve for x
    x = 30,440,129,841/78,528
  6. Step 6: Final answer
    x = 387,634.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.