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Finding the Third Proportional to 104,169 and 147,495

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Solution

The third proportional to 104,169 and 147,495 is: 208,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,169 : 147,495 = 147,495 : x
  2. Step 2: Convert to fraction form
    104,169/147,495 = 147,495/x
  3. Step 3: Cross multiply
    104,169x = 147,495 × 147,495
  4. Step 4: Simplify right side
    104,169x = 21,754,775,025
  5. Step 5: Solve for x
    x = 21,754,775,025/104,169
  6. Step 6: Final answer
    x = 208,841.16

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.