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Finding the Third Proportional to 84,090.75 and 124,937.25

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Solution

The third proportional to 84,090.75 and 124,937.25 is: 185,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,090.75 : 124,937.25 = 124,937.25 : x
  2. Step 2: Convert to fraction form
    84,090.75/124,937.25 = 124,937.25/x
  3. Step 3: Cross multiply
    84,090.75x = 124,937.25 × 124,937.25
  4. Step 4: Simplify right side
    84,090.75x = 15,609,316,437.56
  5. Step 5: Solve for x
    x = 15,609,316,437.56/84,090.75
  6. Step 6: Final answer
    x = 185,624.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.