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Finding the Third Proportional to 94,442 and 130,897

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Solution

The third proportional to 94,442 and 130,897 is: 181,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,442 : 130,897 = 130,897 : x
  2. Step 2: Convert to fraction form
    94,442/130,897 = 130,897/x
  3. Step 3: Cross multiply
    94,442x = 130,897 × 130,897
  4. Step 4: Simplify right side
    94,442x = 17,134,024,609
  5. Step 5: Solve for x
    x = 17,134,024,609/94,442
  6. Step 6: Final answer
    x = 181,423.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.