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Finding the Third Proportional to 56,919 and 91,453.50

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Solution

The third proportional to 56,919 and 91,453.50 is: 146,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,919 : 91,453.50 = 91,453.50 : x
  2. Step 2: Convert to fraction form
    56,919/91,453.50 = 91,453.50/x
  3. Step 3: Cross multiply
    56,919x = 91,453.50 × 91,453.50
  4. Step 4: Simplify right side
    56,919x = 8,363,742,662.25
  5. Step 5: Solve for x
    x = 8,363,742,662.25/56,919
  6. Step 6: Final answer
    x = 146,941.14

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.