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Finding the Third Proportional to 77,712.50 and 114,018

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Solution

The third proportional to 77,712.50 and 114,018 is: 167,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712.50 : 114,018 = 114,018 : x
  2. Step 2: Convert to fraction form
    77,712.50/114,018 = 114,018/x
  3. Step 3: Cross multiply
    77,712.50x = 114,018 × 114,018
  4. Step 4: Simplify right side
    77,712.50x = 13,000,104,324
  5. Step 5: Solve for x
    x = 13,000,104,324/77,712.50
  6. Step 6: Final answer
    x = 167,284.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.