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Finding the Third Proportional to 105,504.75 and 151,132.50

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Solution

The third proportional to 105,504.75 and 151,132.50 is: 216,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,504.75 : 151,132.50 = 151,132.50 : x
  2. Step 2: Convert to fraction form
    105,504.75/151,132.50 = 151,132.50/x
  3. Step 3: Cross multiply
    105,504.75x = 151,132.50 × 151,132.50
  4. Step 4: Simplify right side
    105,504.75x = 22,841,032,556.25
  5. Step 5: Solve for x
    x = 22,841,032,556.25/105,504.75
  6. Step 6: Final answer
    x = 216,492.93

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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.