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Finding the Third Proportional to 73,883 and 153,021

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Solution

The third proportional to 73,883 and 153,021 is: 316,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,883 : 153,021 = 153,021 : x
  2. Step 2: Convert to fraction form
    73,883/153,021 = 153,021/x
  3. Step 3: Cross multiply
    73,883x = 153,021 × 153,021
  4. Step 4: Simplify right side
    73,883x = 23,415,426,441
  5. Step 5: Solve for x
    x = 23,415,426,441/73,883
  6. Step 6: Final answer
    x = 316,925.77

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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.