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Finding the Third Proportional to 56,528 and 84,614

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Solution

The third proportional to 56,528 and 84,614 is: 126,654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,528 : 84,614 = 84,614 : x
  2. Step 2: Convert to fraction form
    56,528/84,614 = 84,614/x
  3. Step 3: Cross multiply
    56,528x = 84,614 × 84,614
  4. Step 4: Simplify right side
    56,528x = 7,159,528,996
  5. Step 5: Solve for x
    x = 7,159,528,996/56,528
  6. Step 6: Final answer
    x = 126,654.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.