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Finding the Third Proportional to 63,320 and 135,114.50

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Solution

The third proportional to 63,320 and 135,114.50 is: 288,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,320 : 135,114.50 = 135,114.50 : x
  2. Step 2: Convert to fraction form
    63,320/135,114.50 = 135,114.50/x
  3. Step 3: Cross multiply
    63,320x = 135,114.50 × 135,114.50
  4. Step 4: Simplify right side
    63,320x = 18,255,928,110.25
  5. Step 5: Solve for x
    x = 18,255,928,110.25/63,320
  6. Step 6: Final answer
    x = 288,312.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.