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Finding the Third Proportional to 56,011 and 88,733.50

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Solution

The third proportional to 56,011 and 88,733.50 is: 140,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,011 : 88,733.50 = 88,733.50 : x
  2. Step 2: Convert to fraction form
    56,011/88,733.50 = 88,733.50/x
  3. Step 3: Cross multiply
    56,011x = 88,733.50 × 88,733.50
  4. Step 4: Simplify right side
    56,011x = 7,873,634,022.25
  5. Step 5: Solve for x
    x = 7,873,634,022.25/56,011
  6. Step 6: Final answer
    x = 140,572.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.