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Finding the Third Proportional to 65,758.50 and 93,047

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Solution

The third proportional to 65,758.50 and 93,047 is: 131,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,758.50 : 93,047 = 93,047 : x
  2. Step 2: Convert to fraction form
    65,758.50/93,047 = 93,047/x
  3. Step 3: Cross multiply
    65,758.50x = 93,047 × 93,047
  4. Step 4: Simplify right side
    65,758.50x = 8,657,744,209
  5. Step 5: Solve for x
    x = 8,657,744,209/65,758.50
  6. Step 6: Final answer
    x = 131,659.70

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.