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Finding the Third Proportional to 63,058.50 and 135,411.75

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Solution

The third proportional to 63,058.50 and 135,411.75 is: 290,783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,058.50 : 135,411.75 = 135,411.75 : x
  2. Step 2: Convert to fraction form
    63,058.50/135,411.75 = 135,411.75/x
  3. Step 3: Cross multiply
    63,058.50x = 135,411.75 × 135,411.75
  4. Step 4: Simplify right side
    63,058.50x = 18,336,342,038.06
  5. Step 5: Solve for x
    x = 18,336,342,038.06/63,058.50
  6. Step 6: Final answer
    x = 290,783.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.