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Finding the Third Proportional to 92,280.75 and 141,468.75

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Solution

The third proportional to 92,280.75 and 141,468.75 is: 216,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,280.75 : 141,468.75 = 141,468.75 : x
  2. Step 2: Convert to fraction form
    92,280.75/141,468.75 = 141,468.75/x
  3. Step 3: Cross multiply
    92,280.75x = 141,468.75 × 141,468.75
  4. Step 4: Simplify right side
    92,280.75x = 20,013,407,226.56
  5. Step 5: Solve for x
    x = 20,013,407,226.56/92,280.75
  6. Step 6: Final answer
    x = 216,875.21

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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.