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Finding the Third Proportional to 76,108.50 and 118,303.88

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Solution

The third proportional to 76,108.50 and 118,303.88 is: 183,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,108.50 : 118,303.88 = 118,303.88 : x
  2. Step 2: Convert to fraction form
    76,108.50/118,303.88 = 118,303.88/x
  3. Step 3: Cross multiply
    76,108.50x = 118,303.88 × 118,303.88
  4. Step 4: Simplify right side
    76,108.50x = 13,995,806,840.02
  5. Step 5: Solve for x
    x = 13,995,806,840.02/76,108.50
  6. Step 6: Final answer
    x = 183,892.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.