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Finding the Third Proportional to 68,095 and 112,537.50

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Solution

The third proportional to 68,095 and 112,537.50 is: 185,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,095 : 112,537.50 = 112,537.50 : x
  2. Step 2: Convert to fraction form
    68,095/112,537.50 = 112,537.50/x
  3. Step 3: Cross multiply
    68,095x = 112,537.50 × 112,537.50
  4. Step 4: Simplify right side
    68,095x = 12,664,688,906.25
  5. Step 5: Solve for x
    x = 12,664,688,906.25/68,095
  6. Step 6: Final answer
    x = 185,985.59

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.