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Finding the Third Proportional to 58,349 and 84,974

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Solution

The third proportional to 58,349 and 84,974 is: 123,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,349 : 84,974 = 84,974 : x
  2. Step 2: Convert to fraction form
    58,349/84,974 = 84,974/x
  3. Step 3: Cross multiply
    58,349x = 84,974 × 84,974
  4. Step 4: Simplify right side
    58,349x = 7,220,580,676
  5. Step 5: Solve for x
    x = 7,220,580,676/58,349
  6. Step 6: Final answer
    x = 123,748.15

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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.