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Finding the Third Proportional to 132,316 and 197,106

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Solution

The third proportional to 132,316 and 197,106 is: 293,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,316 : 197,106 = 197,106 : x
  2. Step 2: Convert to fraction form
    132,316/197,106 = 197,106/x
  3. Step 3: Cross multiply
    132,316x = 197,106 × 197,106
  4. Step 4: Simplify right side
    132,316x = 38,850,775,236
  5. Step 5: Solve for x
    x = 38,850,775,236/132,316
  6. Step 6: Final answer
    x = 293,621.14

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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.