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Finding the Third Proportional to 44,816 and 97,534

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Solution

The third proportional to 44,816 and 97,534 is: 212,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,816 : 97,534 = 97,534 : x
  2. Step 2: Convert to fraction form
    44,816/97,534 = 97,534/x
  3. Step 3: Cross multiply
    44,816x = 97,534 × 97,534
  4. Step 4: Simplify right side
    44,816x = 9,512,881,156
  5. Step 5: Solve for x
    x = 9,512,881,156/44,816
  6. Step 6: Final answer
    x = 212,265.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.