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Finding the Third Proportional to 96,335 and 153,421

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Solution

The third proportional to 96,335 and 153,421 is: 244,334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,335 : 153,421 = 153,421 : x
  2. Step 2: Convert to fraction form
    96,335/153,421 = 153,421/x
  3. Step 3: Cross multiply
    96,335x = 153,421 × 153,421
  4. Step 4: Simplify right side
    96,335x = 23,538,003,241
  5. Step 5: Solve for x
    x = 23,538,003,241/96,335
  6. Step 6: Final answer
    x = 244,334.91

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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.