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Finding the Third Proportional to 100,140 and 133,765.50

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Solution

The third proportional to 100,140 and 133,765.50 is: 178,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,140 : 133,765.50 = 133,765.50 : x
  2. Step 2: Convert to fraction form
    100,140/133,765.50 = 133,765.50/x
  3. Step 3: Cross multiply
    100,140x = 133,765.50 × 133,765.50
  4. Step 4: Simplify right side
    100,140x = 17,893,208,990.25
  5. Step 5: Solve for x
    x = 17,893,208,990.25/100,140
  6. Step 6: Final answer
    x = 178,681.94

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.