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Finding the Third Proportional to 65,187 and 103,612.50

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Solution

The third proportional to 65,187 and 103,612.50 is: 164,688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,187 : 103,612.50 = 103,612.50 : x
  2. Step 2: Convert to fraction form
    65,187/103,612.50 = 103,612.50/x
  3. Step 3: Cross multiply
    65,187x = 103,612.50 × 103,612.50
  4. Step 4: Simplify right side
    65,187x = 10,735,550,156.25
  5. Step 5: Solve for x
    x = 10,735,550,156.25/65,187
  6. Step 6: Final answer
    x = 164,688.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.