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Finding the Third Proportional to 84,693.94 and 124,703.72

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Solution

The third proportional to 84,693.94 and 124,703.72 is: 183,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,693.94 : 124,703.72 = 124,703.72 : x
  2. Step 2: Convert to fraction form
    84,693.94/124,703.72 = 124,703.72/x
  3. Step 3: Cross multiply
    84,693.94x = 124,703.72 × 124,703.72
  4. Step 4: Simplify right side
    84,693.94x = 15,551,017,470.08
  5. Step 5: Solve for x
    x = 15,551,017,470.08/84,693.94
  6. Step 6: Final answer
    x = 183,614.29

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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.