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Finding the Third Proportional to 60,834 and 94,155

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Solution

The third proportional to 60,834 and 94,155 is: 145,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,834 : 94,155 = 94,155 : x
  2. Step 2: Convert to fraction form
    60,834/94,155 = 94,155/x
  3. Step 3: Cross multiply
    60,834x = 94,155 × 94,155
  4. Step 4: Simplify right side
    60,834x = 8,865,164,025
  5. Step 5: Solve for x
    x = 8,865,164,025/60,834
  6. Step 6: Final answer
    x = 145,727.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.