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Finding the Third Proportional to 53,534.50 and 82,894

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Solution

The third proportional to 53,534.50 and 82,894 is: 128,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,534.50 : 82,894 = 82,894 : x
  2. Step 2: Convert to fraction form
    53,534.50/82,894 = 82,894/x
  3. Step 3: Cross multiply
    53,534.50x = 82,894 × 82,894
  4. Step 4: Simplify right side
    53,534.50x = 6,871,415,236
  5. Step 5: Solve for x
    x = 6,871,415,236/53,534.50
  6. Step 6: Final answer
    x = 128,354.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.