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Finding the Third Proportional to 56,316 and 78,733.13

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Solution

The third proportional to 56,316 and 78,733.13 is: 110,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,316 : 78,733.13 = 78,733.13 : x
  2. Step 2: Convert to fraction form
    56,316/78,733.13 = 78,733.13/x
  3. Step 3: Cross multiply
    56,316x = 78,733.13 × 78,733.13
  4. Step 4: Simplify right side
    56,316x = 6,198,904,972.27
  5. Step 5: Solve for x
    x = 6,198,904,972.27/56,316
  6. Step 6: Final answer
    x = 110,073.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.