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Finding the Third Proportional to 139,112 and 186,364

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Solution

The third proportional to 139,112 and 186,364 is: 249,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,112 : 186,364 = 186,364 : x
  2. Step 2: Convert to fraction form
    139,112/186,364 = 186,364/x
  3. Step 3: Cross multiply
    139,112x = 186,364 × 186,364
  4. Step 4: Simplify right side
    139,112x = 34,731,540,496
  5. Step 5: Solve for x
    x = 34,731,540,496/139,112
  6. Step 6: Final answer
    x = 249,666.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.