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Finding the Third Proportional to 60,836 and 123,124

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Solution

The third proportional to 60,836 and 123,124 is: 249,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,836 : 123,124 = 123,124 : x
  2. Step 2: Convert to fraction form
    60,836/123,124 = 123,124/x
  3. Step 3: Cross multiply
    60,836x = 123,124 × 123,124
  4. Step 4: Simplify right side
    60,836x = 15,159,519,376
  5. Step 5: Solve for x
    x = 15,159,519,376/60,836
  6. Step 6: Final answer
    x = 249,186.66

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.