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Finding the Third Proportional to 77,983.50 and 118,076

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Solution

The third proportional to 77,983.50 and 118,076 is: 178,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,983.50 : 118,076 = 118,076 : x
  2. Step 2: Convert to fraction form
    77,983.50/118,076 = 118,076/x
  3. Step 3: Cross multiply
    77,983.50x = 118,076 × 118,076
  4. Step 4: Simplify right side
    77,983.50x = 13,941,941,776
  5. Step 5: Solve for x
    x = 13,941,941,776/77,983.50
  6. Step 6: Final answer
    x = 178,780.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.