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Finding the Third Proportional to 123,684.75 and 170,658

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Solution

The third proportional to 123,684.75 and 170,658 is: 235,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,684.75 : 170,658 = 170,658 : x
  2. Step 2: Convert to fraction form
    123,684.75/170,658 = 170,658/x
  3. Step 3: Cross multiply
    123,684.75x = 170,658 × 170,658
  4. Step 4: Simplify right side
    123,684.75x = 29,124,152,964
  5. Step 5: Solve for x
    x = 29,124,152,964/123,684.75
  6. Step 6: Final answer
    x = 235,470.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.