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Finding the Third Proportional to 84,989.75 and 125,024.25

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Solution

The third proportional to 84,989.75 and 125,024.25 is: 183,917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,989.75 : 125,024.25 = 125,024.25 : x
  2. Step 2: Convert to fraction form
    84,989.75/125,024.25 = 125,024.25/x
  3. Step 3: Cross multiply
    84,989.75x = 125,024.25 × 125,024.25
  4. Step 4: Simplify right side
    84,989.75x = 15,631,063,088.06
  5. Step 5: Solve for x
    x = 15,631,063,088.06/84,989.75
  6. Step 6: Final answer
    x = 183,917.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.