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Finding the Third Proportional to 136,871.63 and 292,658.63

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Solution

The third proportional to 136,871.63 and 292,658.63 is: 625,762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,871.63 : 292,658.63 = 292,658.63 : x
  2. Step 2: Convert to fraction form
    136,871.63/292,658.63 = 292,658.63/x
  3. Step 3: Cross multiply
    136,871.63x = 292,658.63 × 292,658.63
  4. Step 4: Simplify right side
    136,871.63x = 85,649,070,786.89
  5. Step 5: Solve for x
    x = 85,649,070,786.89/136,871.63
  6. Step 6: Final answer
    x = 625,762.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.