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Finding the Third Proportional to 94,604 and 141,084

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Solution

The third proportional to 94,604 and 141,084 is: 210,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,604 : 141,084 = 141,084 : x
  2. Step 2: Convert to fraction form
    94,604/141,084 = 141,084/x
  3. Step 3: Cross multiply
    94,604x = 141,084 × 141,084
  4. Step 4: Simplify right side
    94,604x = 19,904,695,056
  5. Step 5: Solve for x
    x = 19,904,695,056/94,604
  6. Step 6: Final answer
    x = 210,400.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.