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Finding the Third Proportional to 92,385.56 and 121,310.16

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Solution

The third proportional to 92,385.56 and 121,310.16 is: 159,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,385.56 : 121,310.16 = 121,310.16 : x
  2. Step 2: Convert to fraction form
    92,385.56/121,310.16 = 121,310.16/x
  3. Step 3: Cross multiply
    92,385.56x = 121,310.16 × 121,310.16
  4. Step 4: Simplify right side
    92,385.56x = 14,716,154,009.40
  5. Step 5: Solve for x
    x = 14,716,154,009.40/92,385.56
  6. Step 6: Final answer
    x = 159,290.63

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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.