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Finding the Third Proportional to 86,972.25 and 124,038.75

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Solution

The third proportional to 86,972.25 and 124,038.75 is: 176,902.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,972.25 : 124,038.75 = 124,038.75 : x
  2. Step 2: Convert to fraction form
    86,972.25/124,038.75 = 124,038.75/x
  3. Step 3: Cross multiply
    86,972.25x = 124,038.75 × 124,038.75
  4. Step 4: Simplify right side
    86,972.25x = 15,385,611,501.56
  5. Step 5: Solve for x
    x = 15,385,611,501.56/86,972.25
  6. Step 6: Final answer
    x = 176,902.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.