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Finding the Third Proportional to 133,127.75 and 292,074

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Solution

The third proportional to 133,127.75 and 292,074 is: 640,792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,127.75 : 292,074 = 292,074 : x
  2. Step 2: Convert to fraction form
    133,127.75/292,074 = 292,074/x
  3. Step 3: Cross multiply
    133,127.75x = 292,074 × 292,074
  4. Step 4: Simplify right side
    133,127.75x = 85,307,221,476
  5. Step 5: Solve for x
    x = 85,307,221,476/133,127.75
  6. Step 6: Final answer
    x = 640,792.18

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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.