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Finding the Third Proportional to 65,693.63 and 100,180.88

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Solution

The third proportional to 65,693.63 and 100,180.88 is: 152,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,693.63 : 100,180.88 = 100,180.88 : x
  2. Step 2: Convert to fraction form
    65,693.63/100,180.88 = 100,180.88/x
  3. Step 3: Cross multiply
    65,693.63x = 100,180.88 × 100,180.88
  4. Step 4: Simplify right side
    65,693.63x = 10,036,207,715.77
  5. Step 5: Solve for x
    x = 10,036,207,715.77/65,693.63
  6. Step 6: Final answer
    x = 152,772.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.