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Finding the Third Proportional to 94,488 and 146,295

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Solution

The third proportional to 94,488 and 146,295 is: 226,507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,488 : 146,295 = 146,295 : x
  2. Step 2: Convert to fraction form
    94,488/146,295 = 146,295/x
  3. Step 3: Cross multiply
    94,488x = 146,295 × 146,295
  4. Step 4: Simplify right side
    94,488x = 21,402,227,025
  5. Step 5: Solve for x
    x = 21,402,227,025/94,488
  6. Step 6: Final answer
    x = 226,507.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.