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Finding the Third Proportional to 78,897.38 and 122,391

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Solution

The third proportional to 78,897.38 and 122,391 is: 189,861.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,897.38 : 122,391 = 122,391 : x
  2. Step 2: Convert to fraction form
    78,897.38/122,391 = 122,391/x
  3. Step 3: Cross multiply
    78,897.38x = 122,391 × 122,391
  4. Step 4: Simplify right side
    78,897.38x = 14,979,556,881
  5. Step 5: Solve for x
    x = 14,979,556,881/78,897.38
  6. Step 6: Final answer
    x = 189,861.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.