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Finding the Third Proportional to 91,467 and 143,673.50

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Solution

The third proportional to 91,467 and 143,673.50 is: 225,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,467 : 143,673.50 = 143,673.50 : x
  2. Step 2: Convert to fraction form
    91,467/143,673.50 = 143,673.50/x
  3. Step 3: Cross multiply
    91,467x = 143,673.50 × 143,673.50
  4. Step 4: Simplify right side
    91,467x = 20,642,074,602.25
  5. Step 5: Solve for x
    x = 20,642,074,602.25/91,467
  6. Step 6: Final answer
    x = 225,677.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.