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Finding the Third Proportional to 57,802 and 84,835

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Solution

The third proportional to 57,802 and 84,835 is: 124,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,802 : 84,835 = 84,835 : x
  2. Step 2: Convert to fraction form
    57,802/84,835 = 84,835/x
  3. Step 3: Cross multiply
    57,802x = 84,835 × 84,835
  4. Step 4: Simplify right side
    57,802x = 7,196,977,225
  5. Step 5: Solve for x
    x = 7,196,977,225/57,802
  6. Step 6: Final answer
    x = 124,510.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.