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Finding the Third Proportional to 104,004 and 147,156.75

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Solution

The third proportional to 104,004 and 147,156.75 is: 208,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,004 : 147,156.75 = 147,156.75 : x
  2. Step 2: Convert to fraction form
    104,004/147,156.75 = 147,156.75/x
  3. Step 3: Cross multiply
    104,004x = 147,156.75 × 147,156.75
  4. Step 4: Simplify right side
    104,004x = 21,655,109,070.56
  5. Step 5: Solve for x
    x = 21,655,109,070.56/104,004
  6. Step 6: Final answer
    x = 208,214.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.