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Finding the Third Proportional to 96,496 and 153,164

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Solution

The third proportional to 96,496 and 153,164 is: 243,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,496 : 153,164 = 153,164 : x
  2. Step 2: Convert to fraction form
    96,496/153,164 = 153,164/x
  3. Step 3: Cross multiply
    96,496x = 153,164 × 153,164
  4. Step 4: Simplify right side
    96,496x = 23,459,210,896
  5. Step 5: Solve for x
    x = 23,459,210,896/96,496
  6. Step 6: Final answer
    x = 243,110.71

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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.