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Finding the Third Proportional to 138,055.50 and 292,025.25

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Solution

The third proportional to 138,055.50 and 292,025.25 is: 617,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,055.50 : 292,025.25 = 292,025.25 : x
  2. Step 2: Convert to fraction form
    138,055.50/292,025.25 = 292,025.25/x
  3. Step 3: Cross multiply
    138,055.50x = 292,025.25 × 292,025.25
  4. Step 4: Simplify right side
    138,055.50x = 85,278,746,637.56
  5. Step 5: Solve for x
    x = 85,278,746,637.56/138,055.50
  6. Step 6: Final answer
    x = 617,713.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.