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Finding the Third Proportional to 98,106 and 132,495

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Solution

The third proportional to 98,106 and 132,495 is: 178,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,106 : 132,495 = 132,495 : x
  2. Step 2: Convert to fraction form
    98,106/132,495 = 132,495/x
  3. Step 3: Cross multiply
    98,106x = 132,495 × 132,495
  4. Step 4: Simplify right side
    98,106x = 17,554,925,025
  5. Step 5: Solve for x
    x = 17,554,925,025/98,106
  6. Step 6: Final answer
    x = 178,938.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.