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Finding the Third Proportional to 55,428 and 83,206

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Solution

The third proportional to 55,428 and 83,206 is: 124,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,428 : 83,206 = 83,206 : x
  2. Step 2: Convert to fraction form
    55,428/83,206 = 83,206/x
  3. Step 3: Cross multiply
    55,428x = 83,206 × 83,206
  4. Step 4: Simplify right side
    55,428x = 6,923,238,436
  5. Step 5: Solve for x
    x = 6,923,238,436/55,428
  6. Step 6: Final answer
    x = 124,905.07

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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.