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Finding the Third Proportional to 117,021.59 and 176,070.59

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Solution

The third proportional to 117,021.59 and 176,070.59 is: 264,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,021.59 : 176,070.59 = 176,070.59 : x
  2. Step 2: Convert to fraction form
    117,021.59/176,070.59 = 176,070.59/x
  3. Step 3: Cross multiply
    117,021.59x = 176,070.59 × 176,070.59
  4. Step 4: Simplify right side
    117,021.59x = 31,000,851,232.37
  5. Step 5: Solve for x
    x = 31,000,851,232.37/117,021.59
  6. Step 6: Final answer
    x = 264,915.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.