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Finding the Third Proportional to 88,120 and 141,854

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Solution

The third proportional to 88,120 and 141,854 is: 228,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,120 : 141,854 = 141,854 : x
  2. Step 2: Convert to fraction form
    88,120/141,854 = 141,854/x
  3. Step 3: Cross multiply
    88,120x = 141,854 × 141,854
  4. Step 4: Simplify right side
    88,120x = 20,122,557,316
  5. Step 5: Solve for x
    x = 20,122,557,316/88,120
  6. Step 6: Final answer
    x = 228,354.03

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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.