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Finding the Third Proportional to 83,134.69 and 124,529.06

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Solution

The third proportional to 83,134.69 and 124,529.06 is: 186,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,134.69 : 124,529.06 = 124,529.06 : x
  2. Step 2: Convert to fraction form
    83,134.69/124,529.06 = 124,529.06/x
  3. Step 3: Cross multiply
    83,134.69x = 124,529.06 × 124,529.06
  4. Step 4: Simplify right side
    83,134.69x = 15,507,487,407.13
  5. Step 5: Solve for x
    x = 15,507,487,407.13/83,134.69
  6. Step 6: Final answer
    x = 186,534.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.