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Finding the Third Proportional to 77,301.75 and 122,966.25

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Solution

The third proportional to 77,301.75 and 122,966.25 is: 195,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,301.75 : 122,966.25 = 122,966.25 : x
  2. Step 2: Convert to fraction form
    77,301.75/122,966.25 = 122,966.25/x
  3. Step 3: Cross multiply
    77,301.75x = 122,966.25 × 122,966.25
  4. Step 4: Simplify right side
    77,301.75x = 15,120,698,639.06
  5. Step 5: Solve for x
    x = 15,120,698,639.06/77,301.75
  6. Step 6: Final answer
    x = 195,606.16

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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.