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Finding the Third Proportional to 132,712 and 195,196

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Solution

The third proportional to 132,712 and 195,196 is: 287,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,712 : 195,196 = 195,196 : x
  2. Step 2: Convert to fraction form
    132,712/195,196 = 195,196/x
  3. Step 3: Cross multiply
    132,712x = 195,196 × 195,196
  4. Step 4: Simplify right side
    132,712x = 38,101,478,416
  5. Step 5: Solve for x
    x = 38,101,478,416/132,712
  6. Step 6: Final answer
    x = 287,098.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.