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Finding the Third Proportional to 65,736 and 93,994.50

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Solution

The third proportional to 65,736 and 93,994.50 is: 134,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,736 : 93,994.50 = 93,994.50 : x
  2. Step 2: Convert to fraction form
    65,736/93,994.50 = 93,994.50/x
  3. Step 3: Cross multiply
    65,736x = 93,994.50 × 93,994.50
  4. Step 4: Simplify right side
    65,736x = 8,834,966,030.25
  5. Step 5: Solve for x
    x = 8,834,966,030.25/65,736
  6. Step 6: Final answer
    x = 134,400.72

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.