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Finding the Third Proportional to 94,308 and 136,386

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Solution

The third proportional to 94,308 and 136,386 is: 197,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,308 : 136,386 = 136,386 : x
  2. Step 2: Convert to fraction form
    94,308/136,386 = 136,386/x
  3. Step 3: Cross multiply
    94,308x = 136,386 × 136,386
  4. Step 4: Simplify right side
    94,308x = 18,601,140,996
  5. Step 5: Solve for x
    x = 18,601,140,996/94,308
  6. Step 6: Final answer
    x = 197,238.21

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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.