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Finding the Third Proportional to 105,064 and 159,539

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Solution

The third proportional to 105,064 and 159,539 is: 242,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,064 : 159,539 = 159,539 : x
  2. Step 2: Convert to fraction form
    105,064/159,539 = 159,539/x
  3. Step 3: Cross multiply
    105,064x = 159,539 × 159,539
  4. Step 4: Simplify right side
    105,064x = 25,452,692,521
  5. Step 5: Solve for x
    x = 25,452,692,521/105,064
  6. Step 6: Final answer
    x = 242,258.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.