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Finding the Third Proportional to 60,444 and 131,641

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Solution

The third proportional to 60,444 and 131,641 is: 286,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,444 : 131,641 = 131,641 : x
  2. Step 2: Convert to fraction form
    60,444/131,641 = 131,641/x
  3. Step 3: Cross multiply
    60,444x = 131,641 × 131,641
  4. Step 4: Simplify right side
    60,444x = 17,329,352,881
  5. Step 5: Solve for x
    x = 17,329,352,881/60,444
  6. Step 6: Final answer
    x = 286,700.96

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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.