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Finding the Third Proportional to 55,971 and 94,000.50

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Solution

The third proportional to 55,971 and 94,000.50 is: 157,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,971 : 94,000.50 = 94,000.50 : x
  2. Step 2: Convert to fraction form
    55,971/94,000.50 = 94,000.50/x
  3. Step 3: Cross multiply
    55,971x = 94,000.50 × 94,000.50
  4. Step 4: Simplify right side
    55,971x = 8,836,094,000.25
  5. Step 5: Solve for x
    x = 8,836,094,000.25/55,971
  6. Step 6: Final answer
    x = 157,869.15

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.