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Finding the Third Proportional to 87,970 and 141,641

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Solution

The third proportional to 87,970 and 141,641 is: 228,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,970 : 141,641 = 141,641 : x
  2. Step 2: Convert to fraction form
    87,970/141,641 = 141,641/x
  3. Step 3: Cross multiply
    87,970x = 141,641 × 141,641
  4. Step 4: Simplify right side
    87,970x = 20,062,172,881
  5. Step 5: Solve for x
    x = 20,062,172,881/87,970
  6. Step 6: Final answer
    x = 228,056.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.