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Finding the Third Proportional to 63,047.11 and 94,314.38

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Solution

The third proportional to 63,047.11 and 94,314.38 is: 141,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,047.11 : 94,314.38 = 94,314.38 : x
  2. Step 2: Convert to fraction form
    63,047.11/94,314.38 = 94,314.38/x
  3. Step 3: Cross multiply
    63,047.11x = 94,314.38 × 94,314.38
  4. Step 4: Simplify right side
    63,047.11x = 8,895,201,331.64
  5. Step 5: Solve for x
    x = 8,895,201,331.64/63,047.11
  6. Step 6: Final answer
    x = 141,088.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.