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Finding the Third Proportional to 69,513 and 152,850

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Solution

The third proportional to 69,513 and 152,850 is: 336,097.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,513 : 152,850 = 152,850 : x
  2. Step 2: Convert to fraction form
    69,513/152,850 = 152,850/x
  3. Step 3: Cross multiply
    69,513x = 152,850 × 152,850
  4. Step 4: Simplify right side
    69,513x = 23,363,122,500
  5. Step 5: Solve for x
    x = 23,363,122,500/69,513
  6. Step 6: Final answer
    x = 336,097.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.