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Finding the Third Proportional to 133,772.34 and 195,859.27

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Solution

The third proportional to 133,772.34 and 195,859.27 is: 286,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,772.34 : 195,859.27 = 195,859.27 : x
  2. Step 2: Convert to fraction form
    133,772.34/195,859.27 = 195,859.27/x
  3. Step 3: Cross multiply
    133,772.34x = 195,859.27 × 195,859.27
  4. Step 4: Simplify right side
    133,772.34x = 38,360,851,931.16
  5. Step 5: Solve for x
    x = 38,360,851,931.16/133,772.34
  6. Step 6: Final answer
    x = 286,762.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.