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Finding the Third Proportional to 58,636 and 114,355.75

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Solution

The third proportional to 58,636 and 114,355.75 is: 223,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,636 : 114,355.75 = 114,355.75 : x
  2. Step 2: Convert to fraction form
    58,636/114,355.75 = 114,355.75/x
  3. Step 3: Cross multiply
    58,636x = 114,355.75 × 114,355.75
  4. Step 4: Simplify right side
    58,636x = 13,077,237,558.06
  5. Step 5: Solve for x
    x = 13,077,237,558.06/58,636
  6. Step 6: Final answer
    x = 223,024.04

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.