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Finding the Third Proportional to 56,543 and 118,897

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Solution

The third proportional to 56,543 and 118,897 is: 250,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,543 : 118,897 = 118,897 : x
  2. Step 2: Convert to fraction form
    56,543/118,897 = 118,897/x
  3. Step 3: Cross multiply
    56,543x = 118,897 × 118,897
  4. Step 4: Simplify right side
    56,543x = 14,136,496,609
  5. Step 5: Solve for x
    x = 14,136,496,609/56,543
  6. Step 6: Final answer
    x = 250,013.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.