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Finding the Third Proportional to 92,677.50 and 141,612.75

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Solution

The third proportional to 92,677.50 and 141,612.75 is: 216,386.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,677.50 : 141,612.75 = 141,612.75 : x
  2. Step 2: Convert to fraction form
    92,677.50/141,612.75 = 141,612.75/x
  3. Step 3: Cross multiply
    92,677.50x = 141,612.75 × 141,612.75
  4. Step 4: Simplify right side
    92,677.50x = 20,054,170,962.56
  5. Step 5: Solve for x
    x = 20,054,170,962.56/92,677.50
  6. Step 6: Final answer
    x = 216,386.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.