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Finding the Third Proportional to 58,356 and 84,982

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Solution

The third proportional to 58,356 and 84,982 is: 123,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,356 : 84,982 = 84,982 : x
  2. Step 2: Convert to fraction form
    58,356/84,982 = 84,982/x
  3. Step 3: Cross multiply
    58,356x = 84,982 × 84,982
  4. Step 4: Simplify right side
    58,356x = 7,221,940,324
  5. Step 5: Solve for x
    x = 7,221,940,324/58,356
  6. Step 6: Final answer
    x = 123,756.60

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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.