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Finding the Third Proportional to 68,541 and 99,895.50

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Solution

The third proportional to 68,541 and 99,895.50 is: 145,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,541 : 99,895.50 = 99,895.50 : x
  2. Step 2: Convert to fraction form
    68,541/99,895.50 = 99,895.50/x
  3. Step 3: Cross multiply
    68,541x = 99,895.50 × 99,895.50
  4. Step 4: Simplify right side
    68,541x = 9,979,110,920.25
  5. Step 5: Solve for x
    x = 9,979,110,920.25/68,541
  6. Step 6: Final answer
    x = 145,593.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.