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Finding the Third Proportional to 67,693 and 99,230.25

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Solution

The third proportional to 67,693 and 99,230.25 is: 145,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,693 : 99,230.25 = 99,230.25 : x
  2. Step 2: Convert to fraction form
    67,693/99,230.25 = 99,230.25/x
  3. Step 3: Cross multiply
    67,693x = 99,230.25 × 99,230.25
  4. Step 4: Simplify right side
    67,693x = 9,846,642,515.06
  5. Step 5: Solve for x
    x = 9,846,642,515.06/67,693
  6. Step 6: Final answer
    x = 145,460.28

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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.