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Finding the Third Proportional to 85,727 and 133,360.50

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Solution

The third proportional to 85,727 and 133,360.50 is: 207,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,727 : 133,360.50 = 133,360.50 : x
  2. Step 2: Convert to fraction form
    85,727/133,360.50 = 133,360.50/x
  3. Step 3: Cross multiply
    85,727x = 133,360.50 × 133,360.50
  4. Step 4: Simplify right side
    85,727x = 17,785,022,960.25
  5. Step 5: Solve for x
    x = 17,785,022,960.25/85,727
  6. Step 6: Final answer
    x = 207,461.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.