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Finding the Third Proportional to 44,560 and 94,946

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Solution

The third proportional to 44,560 and 94,946 is: 202,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,560 : 94,946 = 94,946 : x
  2. Step 2: Convert to fraction form
    44,560/94,946 = 94,946/x
  3. Step 3: Cross multiply
    44,560x = 94,946 × 94,946
  4. Step 4: Simplify right side
    44,560x = 9,014,742,916
  5. Step 5: Solve for x
    x = 9,014,742,916/44,560
  6. Step 6: Final answer
    x = 202,305.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.