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Finding the Third Proportional to 96,458 and 153,488

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Solution

The third proportional to 96,458 and 153,488 is: 244,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,458 : 153,488 = 153,488 : x
  2. Step 2: Convert to fraction form
    96,458/153,488 = 153,488/x
  3. Step 3: Cross multiply
    96,458x = 153,488 × 153,488
  4. Step 4: Simplify right side
    96,458x = 23,558,566,144
  5. Step 5: Solve for x
    x = 23,558,566,144/96,458
  6. Step 6: Final answer
    x = 244,236.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.