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Finding the Third Proportional to 55,434.50 and 83,066

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Solution

The third proportional to 55,434.50 and 83,066 is: 124,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,434.50 : 83,066 = 83,066 : x
  2. Step 2: Convert to fraction form
    55,434.50/83,066 = 83,066/x
  3. Step 3: Cross multiply
    55,434.50x = 83,066 × 83,066
  4. Step 4: Simplify right side
    55,434.50x = 6,899,960,356
  5. Step 5: Solve for x
    x = 6,899,960,356/55,434.50
  6. Step 6: Final answer
    x = 124,470.51

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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.