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Finding the Third Proportional to 69,253.88 and 149,582.25

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Solution

The third proportional to 69,253.88 and 149,582.25 is: 323,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,253.88 : 149,582.25 = 149,582.25 : x
  2. Step 2: Convert to fraction form
    69,253.88/149,582.25 = 149,582.25/x
  3. Step 3: Cross multiply
    69,253.88x = 149,582.25 × 149,582.25
  4. Step 4: Simplify right side
    69,253.88x = 22,374,849,515.06
  5. Step 5: Solve for x
    x = 22,374,849,515.06/69,253.88
  6. Step 6: Final answer
    x = 323,084.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.