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Finding the Third Proportional to 66,686.63 and 118,570.92

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Solution

The third proportional to 66,686.63 and 118,570.92 is: 210,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,686.63 : 118,570.92 = 118,570.92 : x
  2. Step 2: Convert to fraction form
    66,686.63/118,570.92 = 118,570.92/x
  3. Step 3: Cross multiply
    66,686.63x = 118,570.92 × 118,570.92
  4. Step 4: Simplify right side
    66,686.63x = 14,059,063,514.29
  5. Step 5: Solve for x
    x = 14,059,063,514.29/66,686.63
  6. Step 6: Final answer
    x = 210,822.84

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.