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Finding the Third Proportional to 92,713.50 and 128,985

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Solution

The third proportional to 92,713.50 and 128,985 is: 179,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,713.50 : 128,985 = 128,985 : x
  2. Step 2: Convert to fraction form
    92,713.50/128,985 = 128,985/x
  3. Step 3: Cross multiply
    92,713.50x = 128,985 × 128,985
  4. Step 4: Simplify right side
    92,713.50x = 16,637,130,225
  5. Step 5: Solve for x
    x = 16,637,130,225/92,713.50
  6. Step 6: Final answer
    x = 179,446.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.