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Finding the Third Proportional to 77,548.50 and 116,971.50

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Solution

The third proportional to 77,548.50 and 116,971.50 is: 176,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,548.50 : 116,971.50 = 116,971.50 : x
  2. Step 2: Convert to fraction form
    77,548.50/116,971.50 = 116,971.50/x
  3. Step 3: Cross multiply
    77,548.50x = 116,971.50 × 116,971.50
  4. Step 4: Simplify right side
    77,548.50x = 13,682,331,812.25
  5. Step 5: Solve for x
    x = 13,682,331,812.25/77,548.50
  6. Step 6: Final answer
    x = 176,435.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.