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Finding the Third Proportional to 45,332 and 102,054

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Solution

The third proportional to 45,332 and 102,054 is: 229,749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,332 : 102,054 = 102,054 : x
  2. Step 2: Convert to fraction form
    45,332/102,054 = 102,054/x
  3. Step 3: Cross multiply
    45,332x = 102,054 × 102,054
  4. Step 4: Simplify right side
    45,332x = 10,415,018,916
  5. Step 5: Solve for x
    x = 10,415,018,916/45,332
  6. Step 6: Final answer
    x = 229,749.82

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.