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Finding the Third Proportional to 58,359 and 84,987

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Solution

The third proportional to 58,359 and 84,987 is: 123,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,359 : 84,987 = 84,987 : x
  2. Step 2: Convert to fraction form
    58,359/84,987 = 84,987/x
  3. Step 3: Cross multiply
    58,359x = 84,987 × 84,987
  4. Step 4: Simplify right side
    58,359x = 7,222,790,169
  5. Step 5: Solve for x
    x = 7,222,790,169/58,359
  6. Step 6: Final answer
    x = 123,764.80

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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.