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Finding the Third Proportional to 102,534 and 137,961

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Solution

The third proportional to 102,534 and 137,961 is: 185,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,534 : 137,961 = 137,961 : x
  2. Step 2: Convert to fraction form
    102,534/137,961 = 137,961/x
  3. Step 3: Cross multiply
    102,534x = 137,961 × 137,961
  4. Step 4: Simplify right side
    102,534x = 19,033,237,521
  5. Step 5: Solve for x
    x = 19,033,237,521/102,534
  6. Step 6: Final answer
    x = 185,628.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.