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Finding the Third Proportional to 137,740.50 and 292,025.25

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Solution

The third proportional to 137,740.50 and 292,025.25 is: 619,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,740.50 : 292,025.25 = 292,025.25 : x
  2. Step 2: Convert to fraction form
    137,740.50/292,025.25 = 292,025.25/x
  3. Step 3: Cross multiply
    137,740.50x = 292,025.25 × 292,025.25
  4. Step 4: Simplify right side
    137,740.50x = 85,278,746,637.56
  5. Step 5: Solve for x
    x = 85,278,746,637.56/137,740.50
  6. Step 6: Final answer
    x = 619,126.16

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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.