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Finding the Third Proportional to 88,119 and 141,853

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Solution

The third proportional to 88,119 and 141,853 is: 228,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,119 : 141,853 = 141,853 : x
  2. Step 2: Convert to fraction form
    88,119/141,853 = 141,853/x
  3. Step 3: Cross multiply
    88,119x = 141,853 × 141,853
  4. Step 4: Simplify right side
    88,119x = 20,122,273,609
  5. Step 5: Solve for x
    x = 20,122,273,609/88,119
  6. Step 6: Final answer
    x = 228,353.40

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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.