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Finding the Third Proportional to 94,310 and 136,389

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Solution

The third proportional to 94,310 and 136,389 is: 197,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,310 : 136,389 = 136,389 : x
  2. Step 2: Convert to fraction form
    94,310/136,389 = 136,389/x
  3. Step 3: Cross multiply
    94,310x = 136,389 × 136,389
  4. Step 4: Simplify right side
    94,310x = 18,601,959,321
  5. Step 5: Solve for x
    x = 18,601,959,321/94,310
  6. Step 6: Final answer
    x = 197,242.70

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.