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Finding the Third Proportional to 42,612.75 and 93,534.75

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Solution

The third proportional to 42,612.75 and 93,534.75 is: 205,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,612.75 : 93,534.75 = 93,534.75 : x
  2. Step 2: Convert to fraction form
    42,612.75/93,534.75 = 93,534.75/x
  3. Step 3: Cross multiply
    42,612.75x = 93,534.75 × 93,534.75
  4. Step 4: Simplify right side
    42,612.75x = 8,748,749,457.56
  5. Step 5: Solve for x
    x = 8,748,749,457.56/42,612.75
  6. Step 6: Final answer
    x = 205,308.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.