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Finding the Third Proportional to 96,580 and 153,678

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Solution

The third proportional to 96,580 and 153,678 is: 244,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,580 : 153,678 = 153,678 : x
  2. Step 2: Convert to fraction form
    96,580/153,678 = 153,678/x
  3. Step 3: Cross multiply
    96,580x = 153,678 × 153,678
  4. Step 4: Simplify right side
    96,580x = 23,616,927,684
  5. Step 5: Solve for x
    x = 23,616,927,684/96,580
  6. Step 6: Final answer
    x = 244,532.28

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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.