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Finding the Third Proportional to 85,887.84 and 112,941.84

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Solution

The third proportional to 85,887.84 and 112,941.84 is: 148,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,887.84 : 112,941.84 = 112,941.84 : x
  2. Step 2: Convert to fraction form
    85,887.84/112,941.84 = 112,941.84/x
  3. Step 3: Cross multiply
    85,887.84x = 112,941.84 × 112,941.84
  4. Step 4: Simplify right side
    85,887.84x = 12,755,860,069.65
  5. Step 5: Solve for x
    x = 12,755,860,069.65/85,887.84
  6. Step 6: Final answer
    x = 148,517.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.