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Finding the Third Proportional to 75,351 and 117,580.50

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Solution

The third proportional to 75,351 and 117,580.50 is: 183,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,351 : 117,580.50 = 117,580.50 : x
  2. Step 2: Convert to fraction form
    75,351/117,580.50 = 117,580.50/x
  3. Step 3: Cross multiply
    75,351x = 117,580.50 × 117,580.50
  4. Step 4: Simplify right side
    75,351x = 13,825,173,980.25
  5. Step 5: Solve for x
    x = 13,825,173,980.25/75,351
  6. Step 6: Final answer
    x = 183,476.98

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.