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Finding the Third Proportional to 105,643 and 232,022

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Solution

The third proportional to 105,643 and 232,022 is: 509,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,643 : 232,022 = 232,022 : x
  2. Step 2: Convert to fraction form
    105,643/232,022 = 232,022/x
  3. Step 3: Cross multiply
    105,643x = 232,022 × 232,022
  4. Step 4: Simplify right side
    105,643x = 53,834,208,484
  5. Step 5: Solve for x
    x = 53,834,208,484/105,643
  6. Step 6: Final answer
    x = 509,586.14

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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.