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Finding the Third Proportional to 105,539.84 and 155,519.05

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Solution

The third proportional to 105,539.84 and 155,519.05 is: 229,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,539.84 : 155,519.05 = 155,519.05 : x
  2. Step 2: Convert to fraction form
    105,539.84/155,519.05 = 155,519.05/x
  3. Step 3: Cross multiply
    105,539.84x = 155,519.05 × 155,519.05
  4. Step 4: Simplify right side
    105,539.84x = 24,186,175,155.90
  5. Step 5: Solve for x
    x = 24,186,175,155.90/105,539.84
  6. Step 6: Final answer
    x = 229,166.31

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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.