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Finding the Third Proportional to 76,071 and 118,714.50

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Solution

The third proportional to 76,071 and 118,714.50 is: 185,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,071 : 118,714.50 = 118,714.50 : x
  2. Step 2: Convert to fraction form
    76,071/118,714.50 = 118,714.50/x
  3. Step 3: Cross multiply
    76,071x = 118,714.50 × 118,714.50
  4. Step 4: Simplify right side
    76,071x = 14,093,132,510.25
  5. Step 5: Solve for x
    x = 14,093,132,510.25/76,071
  6. Step 6: Final answer
    x = 185,262.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.