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Finding the Third Proportional to 58,074 and 84,870

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Solution

The third proportional to 58,074 and 84,870 is: 124,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,074 : 84,870 = 84,870 : x
  2. Step 2: Convert to fraction form
    58,074/84,870 = 84,870/x
  3. Step 3: Cross multiply
    58,074x = 84,870 × 84,870
  4. Step 4: Simplify right side
    58,074x = 7,202,916,900
  5. Step 5: Solve for x
    x = 7,202,916,900/58,074
  6. Step 6: Final answer
    x = 124,029.98

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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.