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Finding the Third Proportional to 45,927 and 84,655.13

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Solution

The third proportional to 45,927 and 84,655.13 is: 156,040.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,927 : 84,655.13 = 84,655.13 : x
  2. Step 2: Convert to fraction form
    45,927/84,655.13 = 84,655.13/x
  3. Step 3: Cross multiply
    45,927x = 84,655.13 × 84,655.13
  4. Step 4: Simplify right side
    45,927x = 7,166,490,188.77
  5. Step 5: Solve for x
    x = 7,166,490,188.77/45,927
  6. Step 6: Final answer
    x = 156,040.90

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.