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Finding the Third Proportional to 105,639 and 232,014

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Solution

The third proportional to 105,639 and 232,014 is: 509,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,639 : 232,014 = 232,014 : x
  2. Step 2: Convert to fraction form
    105,639/232,014 = 232,014/x
  3. Step 3: Cross multiply
    105,639x = 232,014 × 232,014
  4. Step 4: Simplify right side
    105,639x = 53,830,496,196
  5. Step 5: Solve for x
    x = 53,830,496,196/105,639
  6. Step 6: Final answer
    x = 509,570.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.