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Finding the Third Proportional to 132,386 and 185,187

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Solution

The third proportional to 132,386 and 185,187 is: 259,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,386 : 185,187 = 185,187 : x
  2. Step 2: Convert to fraction form
    132,386/185,187 = 185,187/x
  3. Step 3: Cross multiply
    132,386x = 185,187 × 185,187
  4. Step 4: Simplify right side
    132,386x = 34,294,224,969
  5. Step 5: Solve for x
    x = 34,294,224,969/132,386
  6. Step 6: Final answer
    x = 259,047.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.