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Finding the Third Proportional to 113,943 and 183,064.50

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Solution

The third proportional to 113,943 and 183,064.50 is: 294,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,943 : 183,064.50 = 183,064.50 : x
  2. Step 2: Convert to fraction form
    113,943/183,064.50 = 183,064.50/x
  3. Step 3: Cross multiply
    113,943x = 183,064.50 × 183,064.50
  4. Step 4: Simplify right side
    113,943x = 33,512,611,160.25
  5. Step 5: Solve for x
    x = 33,512,611,160.25/113,943
  6. Step 6: Final answer
    x = 294,117.33

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.