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Finding the Third Proportional to 56,952 and 84,969

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Solution

The third proportional to 56,952 and 84,969 is: 126,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,952 : 84,969 = 84,969 : x
  2. Step 2: Convert to fraction form
    56,952/84,969 = 84,969/x
  3. Step 3: Cross multiply
    56,952x = 84,969 × 84,969
  4. Step 4: Simplify right side
    56,952x = 7,219,730,961
  5. Step 5: Solve for x
    x = 7,219,730,961/56,952
  6. Step 6: Final answer
    x = 126,768.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.