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Finding the Third Proportional to 74,631 and 113,026.50

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Solution

The third proportional to 74,631 and 113,026.50 is: 171,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,631 : 113,026.50 = 113,026.50 : x
  2. Step 2: Convert to fraction form
    74,631/113,026.50 = 113,026.50/x
  3. Step 3: Cross multiply
    74,631x = 113,026.50 × 113,026.50
  4. Step 4: Simplify right side
    74,631x = 12,774,989,702.25
  5. Step 5: Solve for x
    x = 12,774,989,702.25/74,631
  6. Step 6: Final answer
    x = 171,175.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.