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Finding the Third Proportional to 58,350 and 84,973

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Solution

The third proportional to 58,350 and 84,973 is: 123,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,350 : 84,973 = 84,973 : x
  2. Step 2: Convert to fraction form
    58,350/84,973 = 84,973/x
  3. Step 3: Cross multiply
    58,350x = 84,973 × 84,973
  4. Step 4: Simplify right side
    58,350x = 7,220,410,729
  5. Step 5: Solve for x
    x = 7,220,410,729/58,350
  6. Step 6: Final answer
    x = 123,743.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.