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Finding the Third Proportional to 73,895 and 153,045

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Solution

The third proportional to 73,895 and 153,045 is: 316,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,895 : 153,045 = 153,045 : x
  2. Step 2: Convert to fraction form
    73,895/153,045 = 153,045/x
  3. Step 3: Cross multiply
    73,895x = 153,045 × 153,045
  4. Step 4: Simplify right side
    73,895x = 23,422,772,025
  5. Step 5: Solve for x
    x = 23,422,772,025/73,895
  6. Step 6: Final answer
    x = 316,973.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.