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Finding the Third Proportional to 105,633 and 155,628

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Solution

The third proportional to 105,633 and 155,628 is: 229,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,633 : 155,628 = 155,628 : x
  2. Step 2: Convert to fraction form
    105,633/155,628 = 155,628/x
  3. Step 3: Cross multiply
    105,633x = 155,628 × 155,628
  4. Step 4: Simplify right side
    105,633x = 24,220,074,384
  5. Step 5: Solve for x
    x = 24,220,074,384/105,633
  6. Step 6: Final answer
    x = 229,285.11

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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.