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Finding the Third Proportional to 44,967 and 97,138

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Solution

The third proportional to 44,967 and 97,138 is: 209,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,967 : 97,138 = 97,138 : x
  2. Step 2: Convert to fraction form
    44,967/97,138 = 97,138/x
  3. Step 3: Cross multiply
    44,967x = 97,138 × 97,138
  4. Step 4: Simplify right side
    44,967x = 9,435,791,044
  5. Step 5: Solve for x
    x = 9,435,791,044/44,967
  6. Step 6: Final answer
    x = 209,838.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.