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Finding the Third Proportional to 133,566 and 190,987.50

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Solution

The third proportional to 133,566 and 190,987.50 is: 273,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,566 : 190,987.50 = 190,987.50 : x
  2. Step 2: Convert to fraction form
    133,566/190,987.50 = 190,987.50/x
  3. Step 3: Cross multiply
    133,566x = 190,987.50 × 190,987.50
  4. Step 4: Simplify right side
    133,566x = 36,476,225,156.25
  5. Step 5: Solve for x
    x = 36,476,225,156.25/133,566
  6. Step 6: Final answer
    x = 273,095.14

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.