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Finding the Third Proportional to 58,905 and 89,214.75

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Solution

The third proportional to 58,905 and 89,214.75 is: 135,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,905 : 89,214.75 = 89,214.75 : x
  2. Step 2: Convert to fraction form
    58,905/89,214.75 = 89,214.75/x
  3. Step 3: Cross multiply
    58,905x = 89,214.75 × 89,214.75
  4. Step 4: Simplify right side
    58,905x = 7,959,271,617.56
  5. Step 5: Solve for x
    x = 7,959,271,617.56/58,905
  6. Step 6: Final answer
    x = 135,120.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.