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Finding the Third Proportional to 69,320.25 and 103,518.38

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Solution

The third proportional to 69,320.25 and 103,518.38 is: 154,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,320.25 : 103,518.38 = 103,518.38 : x
  2. Step 2: Convert to fraction form
    69,320.25/103,518.38 = 103,518.38/x
  3. Step 3: Cross multiply
    69,320.25x = 103,518.38 × 103,518.38
  4. Step 4: Simplify right side
    69,320.25x = 10,716,053,962.64
  5. Step 5: Solve for x
    x = 10,716,053,962.64/69,320.25
  6. Step 6: Final answer
    x = 154,587.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.